513317 has 4 divisors (see below), whose sum is σ = 586656. Its totient is φ = 439980.

The previous prime is 513313. The next prime is 513319. The reversal of 513317 is 713315.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 513317 - 2² = 513313 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36659 + ... + 36672.

It is an arithmetic number, because the mean of its divisors is an integer number (146664).

2⁵¹³³¹⁷ is an apocalyptic number.

It is an amenable number.

513317 is a deficient number, since it is larger than the sum of its proper divisors (73339).

513317 is an equidigital number, since it uses as much as digits as its factorization.

513317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73338.

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

The square root of 513317 is about 716.4614434846. The cubic root of 513317 is about 80.0685350201.

The spelling of 513317 in words is "five hundred thirteen thousand, three hundred seventeen".