313863520 has 192 divisors, whose sum is σ = 852405120. Its totient is φ = 108494848.

The previous prime is 313863481. The next prime is 313863541. The reversal of 313863520 is 25368313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1814154 + ... + 1814326.

It is an arithmetic number, because the mean of its divisors is an integer number (4439610).

Almost surely, 2^313863520 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 313863520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426202560).

313863520 is an abundant number, since it is smaller than the sum of its proper divisors (538541600).

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

313863520 is a wasteful number, since it uses less digits than its factorization.

313863520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 313863520 is about 17716.1937221289. The cubic root of 313863520 is about 679.5899488606.

The spelling of 313863520 in words is "three hundred thirteen million, eight hundred sixty-three thousand, five hundred twenty".