312564855625 has 135 divisors (see below), whose sum is σ = 457375359441. Its totient is φ = 213343020000.

The previous prime is 312564855593. The next prime is 312564855703. The reversal of 312564855625 is 526558465213.

The square root of 312564855625 is 559075.

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

It can be written as a sum of positive squares in 2 ways, for example, as 24505084681 + 288059770944 = 156541^2 + 536712^2 .

It is not a de Polignac number, because 312564855625 - 2⁵ = 312564855593 is a prime.

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, 2921166822 + ... + 2921166928.

Almost surely, 2^312564855625 is an apocalyptic number.

312564855625 is the 559075-th square number.

312564855625 is the 279538-th centered octagonal number.

It is an amenable number.

312564855625 is a deficient number, since it is larger than the sum of its proper divisors (144810503816).

312564855625 is an equidigital number, since it uses as much as digits as its factorization.

312564855625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 142 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 52.

The spelling of 312564855625 in words is "three hundred twelve billion, five hundred sixty-four million, eight hundred fifty-five thousand, six hundred twenty-five".