513331413132 has 48 divisors (see below), whose sum is σ = 1199536031232. Its totient is φ = 170858791680.

The previous prime is 513331413103. The next prime is 513331413157. The reversal of 513331413132 is 231314133315.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 513331413132.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40025673 + ... + 40038495.

It is an arithmetic number, because the mean of its divisors is an integer number (24990333984).

Almost surely, 2^513331413132 is an apocalyptic number.

It is an amenable number.

513331413132 is an abundant number, since it is smaller than the sum of its proper divisors (686204618100).

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

513331413132 is a wasteful number, since it uses less digits than its factorization.

513331413132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17478 (or 17476 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

Adding to 513331413132 its reverse (231314133315), we get a palindrome (744645546447).

The spelling of 513331413132 in words is "five hundred thirteen billion, three hundred thirty-one million, four hundred thirteen thousand, one hundred thirty-two".