315756252 has 192 divisors, whose sum is σ = 979937280. Its totient is φ = 86054400.

The previous prime is 315756229. The next prime is 315756281. The reversal of 315756252 is 252657513.

315756252 is a `hidden beast` number, since 31 + 575 + 6 + 2 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1890673 + ... + 1890839.

It is an arithmetic number, because the mean of its divisors is an integer number (5103840).

Almost surely, 2^315756252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315756252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489968640).

315756252 is an abundant number, since it is smaller than the sum of its proper divisors (664181028).

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

315756252 is a wasteful number, since it uses less digits than its factorization.

315756252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 315756252 is about 17769.5315638877. The cubic root of 315756252 is about 680.9532852351.

The spelling of 315756252 in words is "three hundred fifteen million, seven hundred fifty-six thousand, two hundred fifty-two".