313606512 has 80 divisors (see below), whose sum is σ = 917218080. Its totient is φ = 102555648.

The previous prime is 313606507. The next prime is 313606519. The reversal of 313606512 is 215606313.

313606512 is a `hidden beast` number, since 3 + 1 + 3 + 6 + 0 + 651 + 2 = 666.

It is a super-2 number, since 2×313606512² = 196698088737612288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313606519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16048 + ... + 29744.

It is an arithmetic number, because the mean of its divisors is an integer number (11465226).

Almost surely, 2^313606512 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 313606512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458609040).

313606512 is an abundant number, since it is smaller than the sum of its proper divisors (603611568).

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

313606512 is a wasteful number, since it uses less digits than its factorization.

313606512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13767 (or 13755 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 313606512 is about 17708.9387598467. The cubic root of 313606512 is about 679.4044035118.

The spelling of 313606512 in words is "three hundred thirteen million, six hundred six thousand, five hundred twelve".