313585312 has 48 divisors (see below), whose sum is σ = 656449920. Its totient is φ = 147127552.

The previous prime is 313585309. The next prime is 313585319. The reversal of 313585312 is 213585313.

It is not an unprimeable number, because it can be changed into a prime (313585319) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 34989 + ... + 43027.

It is an arithmetic number, because the mean of its divisors is an integer number (13676040).

Almost surely, 2^313585312 is an apocalyptic number.

313585312 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 313585312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328224960).

313585312 is an abundant number, since it is smaller than the sum of its proper divisors (342864608).

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

313585312 is a wasteful number, since it uses less digits than its factorization.

313585312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125 (or 8117 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The square root of 313585312 is about 17708.3401819595. The cubic root of 313585312 is about 679.3890937766.

Subtracting from 313585312 its reverse (213585313), we obtain a palindrome (99999999).

The spelling of 313585312 in words is "three hundred thirteen million, five hundred eighty-five thousand, three hundred twelve".