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1010515025 = 52133897993
BaseRepresentation
bin111100001110110…
…011110001010001
32121102110111000102
4330032303301101
54032142440100
6244134502145
734020143642
oct7416636121
92542414012
101010515025
11479455993
12242504955
1313147c2b0
14982c76c9
155daabcd5
hex3c3b3c51

1010515025 has 24 divisors (see below), whose sum is σ = 1353064440. Its totient is φ = 744215040.

The previous prime is 1010515021. The next prime is 1010515027. The reversal of 1010515025 is 5205150101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 811338256 + 199176769 = 28484^2 + 14113^2 .

It is not a de Polignac number, because 1010515025 - 22 = 1010515021 is a prime.

It is a super-2 number, since 2×10105150252 = 2042281231501501250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1010514988 and 1010515006.

It is not an unprimeable number, because it can be changed into a prime (1010515021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122429 + ... + 130421.

It is an arithmetic number, because the mean of its divisors is an integer number (56377685).

Almost surely, 21010515025 is an apocalyptic number.

It is an amenable number.

1010515025 is a deficient number, since it is larger than the sum of its proper divisors (342549415).

1010515025 is a wasteful number, since it uses less digits than its factorization.

1010515025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8405 (or 8400 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 20.

The square root of 1010515025 is about 31788.5989782500. The cubic root of 1010515025 is about 1003.4927945162.

Adding to 1010515025 its reverse (5205150101), we get a palindrome (6215665126).

The spelling of 1010515025 in words is "one billion, ten million, five hundred fifteen thousand, twenty-five".

Divisors: 1 5 13 25 65 325 389 1945 5057 7993 9725 25285 39965 103909 126425 199825 519545 2597725 3109277 15546385 40420601 77731925 202103005 1010515025