315205890624 has 189 divisors, whose sum is σ = 915415535307. Its totient is φ = 103698736128.

The previous prime is 315205890613. The next prime is 315205890653. The reversal of 315205890624 is 426098502513.

The square root of 315205890624 is 561432.

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

315205890624 is a `hidden beast` number, since 3 + 1 + 5 + 2 + 0 + 589 + 0 + 62 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115246670400 + 199959220224 = 339480^2 + 447168^2 .

It is a super-2 number, since 2×315205890624² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 315205890624.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2007680754 + ... + 2007680910.

Almost surely, 2^315205890624 is an apocalyptic number.

315205890624 is the 561432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315205890624

315205890624 is an abundant number, since it is smaller than the sum of its proper divisors (600209644683).

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

315205890624 is an equidigital number, since it uses as much as digits as its factorization.

315205890624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 315205890624 in words is "three hundred fifteen billion, two hundred five million, eight hundred ninety thousand, six hundred twenty-four".