517113 has 6 divisors (see below), whose sum is σ = 746954. Its totient is φ = 344736.

The previous prime is 517091. The next prime is 517129. The reversal of 517113 is 311715.

Added to its reverse (311715) it gives a triangular number (828828 = T₁₂₈₇).

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 480249 + 36864 = 693^2 + 192^2 .

It is not a de Polignac number, because 517113 - 2⁵ = 517081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (517183) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28720 + ... + 28737.

2⁵¹⁷¹¹³ is an apocalyptic number.

It is an amenable number.

517113 is a deficient number, since it is larger than the sum of its proper divisors (229841).

517113 is a wasteful number, since it uses less digits than its factorization.

517113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57463 (or 57460 counting only the distinct ones).

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

The square root of 517113 is about 719.1056945957. The cubic root of 517113 is about 80.2654205089.

Adding to 517113 its reverse (311715), we get a palindrome (828828).

It can be divided in two parts, 5171 and 13, that added together give a square (5184 = 72²).

The spelling of 517113 in words is "five hundred seventeen thousand, one hundred thirteen".