252713 has 2 divisors, whose sum is σ = 252714. Its totient is φ = 252712.

The previous prime is 252709. The next prime is 252727. The reversal of 252713 is 317252.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222784 + 29929 = 472^2 + 173^2 .

It is a cyclic number.

It is not a de Polignac number, because 252713 - 2² = 252709 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (252013) 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, 126356 + 126357.

It is an arithmetic number, because the mean of its divisors is an integer number (126357).

2²⁵²⁷¹³ is an apocalyptic number.

It is an amenable number.

252713 is a deficient number, since it is larger than the sum of its proper divisors (1).

252713 is an equidigital number, since it uses as much as digits as its factorization.

252713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 420, while the sum is 20.

The square root of 252713 is about 502.7056792995. The cubic root of 252713 is about 63.2231108396.

Adding to 252713 its reverse (317252), we get a palindrome (569965).

The spelling of 252713 in words is "two hundred fifty-two thousand, seven hundred thirteen".