313683513 has 64 divisors (see below), whose sum is σ = 514375680. Its totient is φ = 167443200.

The previous prime is 313683457. The next prime is 313683529. The reversal of 313683513 is 315386313.

It is not a de Polignac number, because 313683513 - 2⁶ = 313683449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (313683553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1369683 + ... + 1369911.

It is an arithmetic number, because the mean of its divisors is an integer number (8037120).

Almost surely, 2^313683513 is an apocalyptic number.

313683513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

313683513 is a deficient number, since it is larger than the sum of its proper divisors (200692167).

313683513 is a wasteful number, since it uses less digits than its factorization.

313683513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390.

The product of its digits is 19440, while the sum is 33.

The square root of 313683513 is about 17711.1126979645. The cubic root of 313683513 is about 679.4600045440.

The spelling of 313683513 in words is "three hundred thirteen million, six hundred eighty-three thousand, five hundred thirteen".