513321619232 has 144 divisors (see below), whose sum is σ = 1093235028480. Its totient is φ = 236539699200.

The previous prime is 513321619211. The next prime is 513321619259. The reversal of 513321619232 is 232916123315.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348960257 + ... + 348961727.

It is an arithmetic number, because the mean of its divisors is an integer number (7591909920).

Almost surely, 2^513321619232 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 513321619232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546617514240).

513321619232 is an abundant number, since it is smaller than the sum of its proper divisors (579913409248).

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

513321619232 is a wasteful number, since it uses less digits than its factorization.

513321619232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1650 counting only the distinct ones).

The product of its digits is 58320, while the sum is 38.

The spelling of 513321619232 in words is "five hundred thirteen billion, three hundred twenty-one million, six hundred nineteen thousand, two hundred thirty-two".