313520255234424 has 384 divisors, whose sum is σ = 1011072471552000. Its totient is φ = 85919046377472.

The previous prime is 313520255234413. The next prime is 313520255234429. The reversal of 313520255234424 is 424432552025313.

It is a happy number.

313520255234424 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 20 + 2 + 552 + 34 + 42 + 4 = 666.

It is a super-2 number, since 2×313520255234424² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313520255234424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313520255234429) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237572197 + ... + 238888235.

It is an arithmetic number, because the mean of its divisors is an integer number (2633001228000).

Almost surely, 2^{313520255234424} 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 313520255234424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505536235776000).

313520255234424 is an abundant number, since it is smaller than the sum of its proper divisors (697552216317576).

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

313520255234424 is a wasteful number, since it uses less digits than its factorization.

313520255234424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316307 (or 1316300 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 313520255234424 in words is "three hundred thirteen trillion, five hundred twenty billion, two hundred fifty-five million, two hundred thirty-four thousand, four hundred twenty-four".