313565952 has 288 divisors, whose sum is σ = 1045481472. Its totient is φ = 81395712.

The previous prime is 313565929. The next prime is 313565953. The reversal of 313565952 is 259565313.

313565952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 313565952.

It is not an unprimeable number, because it can be changed into a prime (313565953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4295388 + ... + 4295460.

It is an arithmetic number, because the mean of its divisors is an integer number (3630144).

Almost surely, 2^313565952 is an apocalyptic number.

313565952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313565952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522740736).

313565952 is an abundant number, since it is smaller than the sum of its proper divisors (731915520).

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

313565952 is a wasteful number, since it uses less digits than its factorization.

313565952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its digits is 121500, while the sum is 39.

The square root of 313565952 is about 17707.7935384395. The cubic root of 313565952 is about 679.3751122081.

The spelling of 313565952 in words is "three hundred thirteen million, five hundred sixty-five thousand, nine hundred fifty-two".