513626656407552 has 952 divisors, whose sum is σ = 1653291539370144. Its totient is φ = 158912061898752.

The previous prime is 513626656407541. The next prime is 513626656407577. The reversal of 513626656407552 is 255704656626315.

513626656407552 is a `hidden beast` number, since 5 + 1 + 3 + 6 + 2 + 66 + 564 + 0 + 7 + 5 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 513626656407552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 59289693973 + ... + 59289702635.

Almost surely, 2^{513626656407552} 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 513626656407552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826645769685072).

513626656407552 is an abundant number, since it is smaller than the sum of its proper divisors (1139664882962592).

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

513626656407552 is an frugal number, since it uses more digits than its factorization.

513626656407552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8803 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 272160000, while the sum is 63.

The spelling of 513626656407552 in words is "five hundred thirteen trillion, six hundred twenty-six billion, six hundred fifty-six million, four hundred seven thousand, five hundred fifty-two".