513316993 has 20 divisors (see below), whose sum is σ = 601430720. Its totient is φ = 438082344.

The previous prime is 513316987. The next prime is 513317071. The reversal of 513316993 is 399613315.

It is not a de Polignac number, because 513316993 - 2¹⁷ = 513185921 is a prime.

It is the 22657-th Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513316913) by changing a digit.

It is a nontrivial repunit in base 22656.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1053796 + ... + 1054282.

It is an arithmetic number, because the mean of its divisors is an integer number (30071536).

Almost surely, 2^513316993 is an apocalyptic number.

It is an amenable number.

513316993 is a deficient number, since it is larger than the sum of its proper divisors (88113727).

513316993 is an frugal number, since it uses more digits than its factorization.

513316993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 933 counting only the distinct ones).

The product of its digits is 65610, while the sum is 40.

The square root of 513316993 is about 22656.5000165515. The cubic root of 513316993 is about 800.6853465616.

The spelling of 513316993 in words is "five hundred thirteen million, three hundred sixteen thousand, nine hundred ninety-three".