513500305142125 has 96 divisors (see below), whose sum is σ = 746684900118144. Its totient is φ = 351544223923200.

The previous prime is 513500305142119. The next prime is 513500305142141. The reversal of 513500305142125 is 521241503005315.

It is not a de Polignac number, because 513500305142125 - 2²⁷ = 513500170924397 is a prime.

It is a Duffinian number.

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, 11205168462 + ... + 11205214288.

It is an arithmetic number, because the mean of its divisors is an integer number (7777967709564).

Almost surely, 2^{513500305142125} is an apocalyptic number.

It is an amenable number.

513500305142125 is a deficient number, since it is larger than the sum of its proper divisors (233184594976019).

513500305142125 is a wasteful number, since it uses less digits than its factorization.

513500305142125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48780 (or 48763 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 37.

The spelling of 513500305142125 in words is "five hundred thirteen trillion, five hundred billion, three hundred five million, one hundred forty-two thousand, one hundred twenty-five".