513117 has 24 divisors (see below), whose sum is σ = 831168. Its totient is φ = 302400.

The previous prime is 513109. The next prime is 513131. The reversal of 513117 is 711315.

It is a happy number.

It is not a de Polignac number, because 513117 - 2³ = 513109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513117.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 513117.

It is not an unprimeable number, because it can be changed into a prime (513137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6993 + ... + 7065.

It is an arithmetic number, because the mean of its divisors is an integer number (34632).

2⁵¹³¹¹⁷ is an apocalyptic number.

It is an amenable number.

513117 is a deficient number, since it is larger than the sum of its proper divisors (318051).

513117 is a wasteful number, since it uses less digits than its factorization.

513117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 158 counting only the distinct ones).

The product of its digits is 105, while the sum is 18.

The square root of 513117 is about 716.3218550345. The cubic root of 513117 is about 80.0581348274.

It can be divided in two parts, 513 and 117, that added together give a triangular number (630 = T₃₅).

The spelling of 513117 in words is "five hundred thirteen thousand, one hundred seventeen".