313132560 has 80 divisors (see below), whose sum is σ = 1045391424. Its totient is φ = 77078016.

The previous prime is 313132553. The next prime is 313132583. The reversal of 313132560 is 65231313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 313132560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47062 + ... + 53301.

Almost surely, 2^313132560 is an apocalyptic number.

313132560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313132560 is an abundant number, since it is smaller than the sum of its proper divisors (732258864).

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

313132560 is a wasteful number, since it uses less digits than its factorization.

313132560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100392 (or 100386 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 313132560 is about 17695.5519834788. The cubic root of 313132560 is about 679.0619707553.

Adding to 313132560 its reverse (65231313), we get a palindrome (378363873).

The spelling of 313132560 in words is "three hundred thirteen million, one hundred thirty-two thousand, five hundred sixty".