312515952 has 80 divisors (see below), whose sum is σ = 971247360. Its totient is φ = 84589056.

The previous prime is 312515941. The next prime is 312515953. The reversal of 312515952 is 259515213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312515953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18093 + ... + 30860.

It is an arithmetic number, because the mean of its divisors is an integer number (12140592).

Almost surely, 2^312515952 is an apocalyptic number.

It is an amenable number.

312515952 is an abundant number, since it is smaller than the sum of its proper divisors (658731408).

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

312515952 is a wasteful number, since it uses less digits than its factorization.

312515952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48990 (or 48984 counting only the distinct ones).

The product of its digits is 13500, while the sum is 33.

The square root of 312515952 is about 17678.1207146009. The cubic root of 312515952 is about 678.6159507229.

The spelling of 312515952 in words is "three hundred twelve million, five hundred fifteen thousand, nine hundred fifty-two".