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1232361025 = 5272172592
BaseRepresentation
bin100100101110100…
…0101011001000001
310011212220102111221
41021131011121001
510010441023100
6322141435041
742352616200
oct11135053101
93155812457
101232361025
115826aa095
122a486ba81
1316841500c
14b9955237
15732ce01a
hex49745641

1232361025 has 81 divisors (see below), whose sum is σ = 1920882729. Its totient is φ = 781858560.

The previous prime is 1232361001. The next prime is 1232361029. The reversal of 1232361025 is 5201632321.

The square root of 1232361025 is 35105.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 28826161 + 1203534864 = 5369^2 + 34692^2 .

It is not a de Polignac number, because 1232361025 - 25 = 1232360993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1232361029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20887446 + ... + 20887504.

Almost surely, 21232361025 is an apocalyptic number.

1232361025 is the 35105-th square number.

1232361025 is the 17553-rd centered octagonal number.

It is an amenable number.

1232361025 is a deficient number, since it is larger than the sum of its proper divisors (688521704).

1232361025 is an equidigital number, since it uses as much as digits as its factorization.

1232361025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The cubic root of 1232361025 is about 1072.1263869629.

Multiplying 1232361025 by its sum of digits (25), we get a square (30809025625 = 1755252).

1232361025 divided by its sum of digits (25) gives a square (49294441 = 70212).

Adding to 1232361025 its reverse (5201632321), we get a palindrome (6433993346).

The spelling of 1232361025 in words is "one billion, two hundred thirty-two million, three hundred sixty-one thousand, twenty-five".

Divisors: 1 5 7 17 25 35 49 59 85 119 175 245 289 295 413 425 595 833 1003 1225 1445 1475 2023 2065 2891 2975 3481 4165 5015 7021 7225 10115 10325 14161 14455 17051 17405 20825 24367 25075 35105 49147 50575 59177 70805 72275 85255 87025 119357 121835 170569 175525 245735 295885 354025 414239 426275 596785 609175 835499 852845 1006009 1228675 1479425 2071195 2899673 2983925 4177495 4264225 5030045 7042063 10355975 14498365 20887475 25150225 35210315 49294441 72491825 176051575 246472205 1232361025