315120520 has 128 divisors (see below), whose sum is σ = 843696000. Its totient is φ = 104417280.

The previous prime is 315120511. The next prime is 315120523. The reversal of 315120520 is 25021513.

It is not an unprimeable number, because it can be changed into a prime (315120523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508771 + ... + 509389.

It is an arithmetic number, because the mean of its divisors is an integer number (6591375).

Almost surely, 2^315120520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421848000).

315120520 is an abundant number, since it is smaller than the sum of its proper divisors (528575480).

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

315120520 is a wasteful number, since it uses less digits than its factorization.

315120520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 315120520 is about 17751.6342909604. The cubic root of 315120520 is about 680.4959761056.

The spelling of 315120520 in words is "three hundred fifteen million, one hundred twenty thousand, five hundred twenty".