513118640329 has 9 divisors (see below), whose sum is σ = 521712746919. Its totient is φ = 504663879960.

The previous prime is 513118640311. The next prime is 513118640399. The reversal of 513118640329 is 923046811315.

The square root of 513118640329 is 716323.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16685663929 + 496432976400 = 129173^2 + 704580^2 .

It is not a de Polignac number, because 513118640329 - 2⁷ = 513118640201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513118640399) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43689832 + ... + 43701574.

It is an arithmetic number, because the mean of its divisors is an integer number (57968082991).

Almost surely, 2^513118640329 is an apocalyptic number.

513118640329 is the 716323-rd square number.

513118640329 is the 358162-nd centered octagonal number.

It is an amenable number.

513118640329 is a deficient number, since it is larger than the sum of its proper divisors (8594106590).

513118640329 is an frugal number, since it uses more digits than its factorization.

513118640329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23608 (or 11804 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 513118640329 in words is "five hundred thirteen billion, one hundred eighteen million, six hundred forty thousand, three hundred twenty-nine".