513713 has 4 divisors (see below), whose sum is σ = 522480. Its totient is φ = 504948.

The previous prime is 513697. The next prime is 513719. The reversal of 513713 is 317315.

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, and also an emirpimes, since its reverse is a distinct semiprime: 317315 = 5 ⋅63463.

It is a cyclic number.

It is not a de Polignac number, because 513713 - 2⁴ = 513697 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (513719) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4295 + ... + 4412.

It is an arithmetic number, because the mean of its divisors is an integer number (130620).

2⁵¹³⁷¹³ is an apocalyptic number.

It is an amenable number.

513713 is a deficient number, since it is larger than the sum of its proper divisors (8767).

513713 is an equidigital number, since it uses as much as digits as its factorization.

513713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8766.

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

The square root of 513713 is about 716.7377484129. The cubic root of 513713 is about 80.0891194347.

The spelling of 513713 in words is "five hundred thirteen thousand, seven hundred thirteen".