513525615504 has 80 divisors (see below), whose sum is σ = 1463469456960. Its totient is φ = 153865338880.

The previous prime is 513525615503. The next prime is 513525615553. The reversal of 513525615504 is 405516525315.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (513525615503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5416977 + ... + 5510960.

It is an arithmetic number, because the mean of its divisors is an integer number (18293368212).

Almost surely, 2^513525615504 is an apocalyptic number.

It is an amenable number.

513525615504 is an abundant number, since it is smaller than the sum of its proper divisors (949943841456).

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

513525615504 is a wasteful number, since it uses less digits than its factorization.

513525615504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10928048 (or 10928042 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 42.

The spelling of 513525615504 in words is "five hundred thirteen billion, five hundred twenty-five million, six hundred fifteen thousand, five hundred four".