315376512 has 128 divisors (see below), whose sum is σ = 920937600. Its totient is φ = 94832640.

The previous prime is 315376499. The next prime is 315376561. The reversal of 315376512 is 215673513.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×315376512² = 198924688642572288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831939 + ... + 832317.

It is an arithmetic number, because the mean of its divisors is an integer number (7194825).

Almost surely, 2^315376512 is an apocalyptic number.

315376512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315376512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460468800).

315376512 is an abundant number, since it is smaller than the sum of its proper divisors (605561088).

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

315376512 is a wasteful number, since it uses less digits than its factorization.

315376512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 592 counting only the distinct ones).

The product of its digits is 18900, while the sum is 33.

The square root of 315376512 is about 17758.8432055694. The cubic root of 315376512 is about 680.6801959671.

The spelling of 315376512 in words is "three hundred fifteen million, three hundred seventy-six thousand, five hundred twelve".