313505352 has 96 divisors (see below), whose sum is σ = 884552760. Its totient is φ = 100224000.

The previous prime is 313505327. The next prime is 313505363. The reversal of 313505352 is 253505313.

It can be written as a sum of positive squares in 4 ways, for example, as 14699556 + 298805796 = 3834^2 + 17286^2 .

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, 179202 + ... + 180942.

Almost surely, 2^313505352 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 313505352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442276380).

313505352 is an abundant number, since it is smaller than the sum of its proper divisors (571047408).

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

313505352 is a wasteful number, since it uses less digits than its factorization.

313505352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 313505352 is about 17706.0823447763. The cubic root of 313505352 is about 679.3313438674.

The spelling of 313505352 in words is "three hundred thirteen million, five hundred five thousand, three hundred fifty-two".