513361382856 has 64 divisors (see below), whose sum is σ = 1467060940800. Its totient is φ = 146643267648.

The previous prime is 513361382827. The next prime is 513361382881. The reversal of 513361382856 is 658283163315.

513361382856 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×513361382856² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513361382799 and 513361382808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465235 + ... + 1114973.

It is an arithmetic number, because the mean of its divisors is an integer number (22922827200).

Almost surely, 2^513361382856 is an apocalyptic number.

513361382856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

513361382856 is an abundant number, since it is smaller than the sum of its proper divisors (953699557944).

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

513361382856 is a wasteful number, since it uses less digits than its factorization.

513361382856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654458 (or 654454 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The spelling of 513361382856 in words is "five hundred thirteen billion, three hundred sixty-one million, three hundred eighty-two thousand, eight hundred fifty-six".