315917064225 has 243 divisors, whose sum is σ = 677586819819. Its totient is φ = 140291424000.

The previous prime is 315917064217. The next prime is 315917064269. The reversal of 315917064225 is 522460719513.

The square root of 315917064225 is 562065.

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

315917064225 is a `hidden beast` number, since 3 + 1 + 59 + 170 + 6 + 422 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3976941969 + 311940122256 = 63063^2 + 558516^2 .

It is not a de Polignac number, because 315917064225 - 2³ = 315917064217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3127891675 + ... + 3127891775.

Almost surely, 2^315917064225 is an apocalyptic number.

315917064225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

315917064225 is the 562065-th square number.

315917064225 is the 281033-rd centered octagonal number.

It is an amenable number.

315917064225 is an abundant number, since it is smaller than the sum of its proper divisors (361669755594).

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

315917064225 is a wasteful number, since it uses less digits than its factorization.

315917064225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 315917064225 in words is "three hundred fifteen billion, nine hundred seventeen million, sixty-four thousand, two hundred twenty-five".