10915025625 has 135 divisors (see below), whose sum is σ = 23033674521. Its totient is φ = 4964652000.

The previous prime is 10915025579. The next prime is 10915025647. The reversal of 10915025625 is 52652051901.

The square root of 10915025625 is 104475.

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

10915025625 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 5 + 0 + 25 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 855738009 + 10059287616 = 29253^2 + 100296^2 .

It is not a de Polignac number, because 10915025625 - 2⁷ = 10915025497 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10915025625.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 54849276 + ... + 54849474.

Almost surely, 2^10915025625 is an apocalyptic number.

10915025625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10915025625 is the 104475-th square number.

10915025625 is the 52238-th centered octagonal number.

It is an amenable number.

10915025625 is an abundant number, since it is smaller than the sum of its proper divisors (12118648896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10915025625 is an frugal number, since it uses more digits than its factorization.

10915025625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

Multiplying 10915025625 by its sum of digits (36), we get a square (392940922500 = 626850²).

The spelling of 10915025625 in words is "ten billion, nine hundred fifteen million, twenty-five thousand, six hundred twenty-five".