315133504 has 63 divisors (see below), whose sum is σ = 729741873. Its totient is φ = 134631168.

The previous prime is 315133499. The next prime is 315133523. The reversal of 315133504 is 405331513.

The square root of 315133504 is 17752.

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., 17640000 + 297493504 = 4200^2 + 17248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 993954 + ... + 994270.

Almost surely, 2^315133504 is an apocalyptic number.

315133504 is the 17752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315133504

315133504 is an abundant number, since it is smaller than the sum of its proper divisors (414608369).

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

315133504 is an frugal number, since it uses more digits than its factorization.

315133504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The cubic root of 315133504 is about 680.5053222000.

Multiplying 315133504 by its sum of digits (25), we get a square (7878337600 = 88760²).

The spelling of 315133504 in words is "three hundred fifteen million, one hundred thirty-three thousand, five hundred four".