513711 has 12 divisors (see below), whose sum is σ = 809640. Its totient is φ = 311280.

The previous prime is 513697. The next prime is 513719. The reversal of 513711 is 117315.

It is a happy number.

It is not a de Polignac number, because 513711 - 2⁵ = 513679 is a prime.

It is an Ulam number.

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 513711.

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 11 ways as a sum of consecutive naturals, for example, 2496 + ... + 2693.

It is an arithmetic number, because the mean of its divisors is an integer number (67470).

2⁵¹³⁷¹¹ is an apocalyptic number.

513711 is a deficient number, since it is larger than the sum of its proper divisors (295929).

513711 is a wasteful number, since it uses less digits than its factorization.

513711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206 (or 5203 counting only the distinct ones).

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

The square root of 513711 is about 716.7363532011. The cubic root of 513711 is about 80.0890154996.

The spelling of 513711 in words is "five hundred thirteen thousand, seven hundred eleven".