315028512 has 72 divisors (see below), whose sum is σ = 943029360. Its totient is φ = 99480960.

The previous prime is 315028489. The next prime is 315028517. The reversal of 315028512 is 215820513.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×315028512³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (315028517) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23314 + ... + 34257.

It is an arithmetic number, because the mean of its divisors is an integer number (13097630).

Almost surely, 2^315028512 is an apocalyptic number.

315028512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

315028512 is an abundant number, since it is smaller than the sum of its proper divisors (628000848).

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

315028512 is a wasteful number, since it uses less digits than its factorization.

315028512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57606 (or 57595 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 315028512 is about 17749.0425657273. The cubic root of 315028512 is about 680.4297398939.

The spelling of 315028512 in words is "three hundred fifteen million, twenty-eight thousand, five hundred twelve".