513625053511024 has 160 divisors (see below), whose sum is σ = 1226318544367616. Its totient is φ = 202940154362880.

The previous prime is 513625053511019. The next prime is 513625053511043. The reversal of 513625053511024 is 420115350526315.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21920736589 + ... + 21920760019.

Almost surely, 2^{513625053511024} 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 513625053511024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613159272183808).

513625053511024 is an abundant number, since it is smaller than the sum of its proper divisors (712693490856592).

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

513625053511024 is a wasteful number, since it uses less digits than its factorization.

513625053511024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41503 (or 41497 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 43.

The spelling of 513625053511024 in words is "five hundred thirteen trillion, six hundred twenty-five billion, fifty-three million, five hundred eleven thousand, twenty-four".