11637015625 has 21 divisors (see below), whose sum is σ = 14562958123. Its totient is φ = 9298825000.

The previous prime is 11637015617. The next prime is 11637015641. The reversal of 11637015625 is 52651073611.

The square root of 11637015625 is 107875.

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

11637015625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 10195142841 + 1441872784 = 100971^2 + 37972^2 .

It is not a de Polignac number, because 11637015625 - 2³ = 11637015617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 13483944 + ... + 13484806.

Almost surely, 2^11637015625 is an apocalyptic number.

11637015625 is the 107875-th square number.

11637015625 is the 53938-th centered octagonal number.

It is an amenable number.

11637015625 is a deficient number, since it is larger than the sum of its proper divisors (2925942498).

11637015625 is an frugal number, since it uses more digits than its factorization.

11637015625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 11637015625 in words is "eleven billion, six hundred thirty-seven million, fifteen thousand, six hundred twenty-five".