10513625 has 16 divisors (see below), whose sum is σ = 13213200. Its totient is φ = 8352000.

The previous prime is 10513621. The next prime is 10513627. The reversal of 10513625 is 52631501.

It can be written as a sum of positive squares in 8 ways, for example, as 1247689 + 9265936 = 1117^2 + 3044^2 .

It is not a de Polignac number, because 10513625 - 2² = 10513621 is a prime.

It is a super-2 number, since 2×10513625² = 221072621281250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10513625.

It is not an unprimeable number, because it can be changed into a prime (10513621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29951 + ... + 30299.

It is an arithmetic number, because the mean of its divisors is an integer number (825825).

Almost surely, 2^10513625 is an apocalyptic number.

It is an amenable number.

10513625 is a deficient number, since it is larger than the sum of its proper divisors (2699575).

10513625 is an equidigital number, since it uses as much as digits as its factorization.

10513625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 10513625 is about 3242.4720507662. The cubic root of 10513625 is about 219.0706318465.

The spelling of 10513625 in words is "ten million, five hundred thirteen thousand, six hundred twenty-five".