1129968225 has 81 divisors (see below), whose sum is σ = 2127260083. Its totient is φ = 595388880.

The previous prime is 1129968193. The next prime is 1129968227. The reversal of 1129968225 is 5228699211.

It is a happy number.

The square root of 1129968225 is 33615.

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

It can be written as a sum of positive squares in only one way, i.e., 406788561 + 723179664 = 20169^2 + 26892^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 1129968225 - 2⁵ = 1129968193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1129968227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13614034 + ... + 13614116.

Almost surely, 2^1129968225 is an apocalyptic number.

1129968225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1129968225 is the 33615-th square number.

1129968225 is the 16808-th centered octagonal number.

It is an amenable number.

1129968225 is a deficient number, since it is larger than the sum of its proper divisors (997291858).

1129968225 is an frugal number, since it uses more digits than its factorization.

1129968225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 91 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The cubic root of 1129968225 is about 1041.5706743188.

It can be divided in two parts, 11299 and 68225, that added together give a square (79524 = 282²).

The spelling of 1129968225 in words is "one billion, one hundred twenty-nine million, nine hundred sixty-eight thousand, two hundred twenty-five".