513047935686 has 128 divisors (see below), whose sum is σ = 1211349468672. Its totient is φ = 142813440000.

The previous prime is 513047935669. The next prime is 513047935721. The reversal of 513047935686 is 686539740315.

513047935686 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 168930960 + ... + 168933996.

It is an arithmetic number, because the mean of its divisors is an integer number (9463667724).

Almost surely, 2^513047935686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513047935686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605674734336).

513047935686 is an abundant number, since it is smaller than the sum of its proper divisors (698301532986).

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

513047935686 is a wasteful number, since it uses less digits than its factorization.

513047935686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958.

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 513047935686 in words is "five hundred thirteen billion, forty-seven million, nine hundred thirty-five thousand, six hundred eighty-six".