313963056 has 180 divisors, whose sum is σ = 993939856. Its totient is φ = 92378880.

The previous prime is 313963051. The next prime is 313963061. The reversal of 313963056 is 650369313.

313963056 is a `hidden beast` number, since 3 + 13 + 9 + 630 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (313963051) and next prime (313963061).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 313963056.

It is not an unprimeable number, because it can be changed into a prime (313963051) 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 35 ways as a sum of consecutive naturals, for example, 644445 + ... + 644931.

Almost surely, 2^313963056 is an apocalyptic number.

313963056 is a gapful number since it is divisible by the number (36) 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 313963056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496969928).

313963056 is an abundant number, since it is smaller than the sum of its proper divisors (679976800).

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

313963056 is a wasteful number, since it uses less digits than its factorization.

313963056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 313963056 is about 17719.0026807380. The cubic root of 313963056 is about 679.6617810546.

It can be divided in two parts, 313 and 963056, that added together give a palindrome (963369).

The spelling of 313963056 in words is "three hundred thirteen million, nine hundred sixty-three thousand, fifty-six".