512713 has 2 divisors, whose sum is σ = 512714. Its totient is φ = 512712.

The previous prime is 512711. The next prime is 512717. The reversal of 512713 is 317215.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 501264 + 11449 = 708^2 + 107^2 .

It is a cyclic number.

It is not a de Polignac number, because 512713 - 2¹ = 512711 is a prime.

Together with 512711, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (512711) 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 as a sum of consecutive naturals, namely, 256356 + 256357.

It is an arithmetic number, because the mean of its divisors is an integer number (256357).

2⁵¹²⁷¹³ is an apocalyptic number.

It is an amenable number.

512713 is a deficient number, since it is larger than the sum of its proper divisors (1).

512713 is an equidigital number, since it uses as much as digits as its factorization.

512713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 210, while the sum is 19.

The square root of 512713 is about 716.0398033629. The cubic root of 512713 is about 80.0371181920.

Adding to 512713 its reverse (317215), we get a palindrome (829928).

It can be divided in two parts, 512 and 713, that added together give a triangular number (1225 = T₄₉).

The spelling of 512713 in words is "five hundred twelve thousand, seven hundred thirteen".