315516412025136 has 160 divisors (see below), whose sum is σ = 1045275180249600. Its totient is φ = 89254996243200.

The previous prime is 315516412025123. The next prime is 315516412025149. The reversal of 315516412025136 is 631520214615513.

It is a happy number.

315516412025136 is a `hidden beast` number, since 3 + 1 + 5 + 5 + 1 + 6 + 4 + 120 + 2 + 513 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (315516412025123) and next prime (315516412025149).

It is a junction number, because it is equal to n+sod(n) for n = 315516412025091 and 315516412025100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516216546 + ... + 516827393.

It is an arithmetic number, because the mean of its divisors is an integer number (6532969876560).

Almost surely, 2^{315516412025136} is an apocalyptic number.

315516412025136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

315516412025136 is an abundant number, since it is smaller than the sum of its proper divisors (729758768224464).

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

315516412025136 is a wasteful number, since it uses less digits than its factorization.

315516412025136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033044064 (or 1033044052 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 315516412025136 in words is "three hundred fifteen trillion, five hundred sixteen billion, four hundred twelve million, twenty-five thousand, one hundred thirty-six".