517313 has 6 divisors (see below), whose sum is σ = 546354. Its totient is φ = 489744.

The previous prime is 517303. The next prime is 517337. The reversal of 517313 is 313715.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 494209 + 23104 = 703^2 + 152^2 .

It is not a de Polignac number, because 517313 - 2⁶ = 517249 is a prime.

It is a super-2 number, since 2×517313² = 535225479938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (517303) 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, 356 + ... + 1077.

It is an arithmetic number, because the mean of its divisors is an integer number (91059).

2⁵¹⁷³¹³ is an apocalyptic number.

It is an amenable number.

517313 is a deficient number, since it is larger than the sum of its proper divisors (29041).

517313 is a wasteful number, since it uses less digits than its factorization.

517313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1452 counting only the distinct ones).

The product of its digits is 315, while the sum is 20.

The square root of 517313 is about 719.2447427684. The cubic root of 517313 is about 80.2757670643.

The spelling of 517313 in words is "five hundred seventeen thousand, three hundred thirteen".