507713 has 2 divisors, whose sum is σ = 507714. Its totient is φ = 507712.

The previous prime is 507697. The next prime is 507719. The reversal of 507713 is 317705.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 485809 + 21904 = 697^2 + 148^2 .

It is a cyclic number.

It is not a de Polignac number, because 507713 - 2⁴ = 507697 is a prime.

It is a super-3 number, since 3×507713³ = 392623333208148291, which contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (507719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253856 + 253857.

It is an arithmetic number, because the mean of its divisors is an integer number (253857).

2⁵⁰⁷⁷¹³ is an apocalyptic number.

It is an amenable number.

507713 is a deficient number, since it is larger than the sum of its proper divisors (1).

507713 is an equidigital number, since it uses as much as digits as its factorization.

507713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 507713 is about 712.5398234485. The cubic root of 507713 is about 79.7760926534.

The spelling of 507713 in words is "five hundred seven thousand, seven hundred thirteen".