315204516 has 81 divisors (see below), whose sum is σ = 879052993. Its totient is φ = 95161440.

The previous prime is 315204511. The next prime is 315204529. The reversal of 315204516 is 615402513.

The square root of 315204516 is 17754.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20738916 + 294465600 = 4554^2 + 17160^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 315204516.

It is not an unprimeable number, because it can be changed into a prime (315204511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1171630 + ... + 1171898.

Almost surely, 2^315204516 is an apocalyptic number.

315204516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

315204516 is the 17754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315204516

315204516 is an abundant number, since it is smaller than the sum of its proper divisors (563848477).

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

315204516 is a wasteful number, since it uses less digits than its factorization.

315204516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The cubic root of 315204516 is about 680.5564332519.

Multiplying 315204516 by its product of nonzero digits (3600), we get a square (1134736257600 = 1065240²).

The spelling of 315204516 in words is "three hundred fifteen million, two hundred four thousand, five hundred sixteen".