315763252 has 72 divisors (see below), whose sum is σ = 674964360. Its totient is φ = 128701440.

The previous prime is 315763211. The next prime is 315763309. The reversal of 315763252 is 252367513.

It can be written as a sum of positive squares in 4 ways, for example, as 1623076 + 314140176 = 1274^2 + 17724^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414552 + ... + 415312.

It is an arithmetic number, because the mean of its divisors is an integer number (9374505).

Almost surely, 2^315763252 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 315763252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337482180).

315763252 is an abundant number, since it is smaller than the sum of its proper divisors (359201108).

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

315763252 is a wasteful number, since it uses less digits than its factorization.

315763252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 872 counting only the distinct ones).

The product of its digits is 37800, while the sum is 34.

The square root of 315763252 is about 17769.7285291588. The cubic root of 315763252 is about 680.9583172154.

The spelling of 315763252 in words is "three hundred fifteen million, seven hundred sixty-three thousand, two hundred fifty-two".