513362717056 has 96 divisors (see below), whose sum is σ = 1193102568000. Its totient is φ = 219381249024.

The previous prime is 513362717033. The next prime is 513362717069. The reversal of 513362717056 is 650717263315.

It is a junction number, because it is equal to n+sod(n) for n = 513362716997 and 513362717015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2071665 + ... + 2306191.

It is an arithmetic number, because the mean of its divisors is an integer number (12428151750).

Almost surely, 2^513362717056 is an apocalyptic number.

513362717056 is a gapful number since it is divisible by the number (56) 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 513362717056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596551284000).

513362717056 is an abundant number, since it is smaller than the sum of its proper divisors (679739850944).

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

513362717056 is a wasteful number, since it uses less digits than its factorization.

513362717056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234904 (or 234885 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 46.

The spelling of 513362717056 in words is "five hundred thirteen billion, three hundred sixty-two million, seven hundred seventeen thousand, fifty-six".