513313560231120 has 480 divisors, whose sum is σ = 1909793523141504. Its totient is φ = 122509722931200.

The previous prime is 513313560231119. The next prime is 513313560231181. The reversal of 513313560231120 is 21132065313315.

513313560231120 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 1 + 3 + 5 + 602 + 31 + 12 + 0 = 666.

It is a super-2 number, since 2×513313560231120² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 898087830 + ... + 898659210.

Almost surely, 2^{513313560231120} 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 513313560231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954896761570752).

513313560231120 is an abundant number, since it is smaller than the sum of its proper divisors (1396479962910384).

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

513313560231120 is a wasteful number, since it uses less digits than its factorization.

513313560231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573171 (or 573162 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 513313560231120 in words is "five hundred thirteen trillion, three hundred thirteen billion, five hundred sixty million, two hundred thirty-one thousand, one hundred twenty".