15656265625 has 189 divisors, whose sum is σ = 27095805513. Its totient is φ = 9009000000.

The previous prime is 15656265553. The next prime is 15656265629. The reversal of 15656265625 is 52656265651.

The square root of 15656265625 is 125125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 7344661401 + 8311604224 = 85701^2 + 91168^2 .

It is not a de Polignac number, because 15656265625 - 2¹⁵ = 15656232857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

Its product of digits (3240000) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (15656265629) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1204328119 + ... + 1204328131.

Almost surely, 2^15656265625 is an apocalyptic number.

15656265625 is the 125125-th square number.

15656265625 is the 62563-rd centered octagonal number.

It is an amenable number.

15656265625 is a deficient number, since it is larger than the sum of its proper divisors (11439539888).

15656265625 is an frugal number, since it uses more digits than its factorization.

15656265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 36 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 49.

Multiplying 15656265625 by its sum of digits (49), we get a square (767157015625 = 875875²).

15656265625 divided by its sum of digits (49) gives a square (319515625 = 17875²).

The spelling of 15656265625 in words is "fifteen billion, six hundred fifty-six million, two hundred sixty-five thousand, six hundred twenty-five".