252313 has 2 divisors, whose sum is σ = 252314. Its totient is φ = 252312.

The previous prime is 252293. The next prime is 252319. The reversal of 252313 is 313252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 166464 + 85849 = 408^2 + 293^2 .

It is a cyclic number.

It is not a de Polignac number, because 252313 - 2¹³ = 244121 is a prime.

It is equal to p₂₂₂₂₈ and since 252313 and 22228 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (252319) 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, 126156 + 126157.

It is an arithmetic number, because the mean of its divisors is an integer number (126157).

2²⁵²³¹³ is an apocalyptic number.

It is an amenable number.

252313 is a deficient number, since it is larger than the sum of its proper divisors (1).

252313 is an equidigital number, since it uses as much as digits as its factorization.

252313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 16.

The square root of 252313 is about 502.3076746378. The cubic root of 252313 is about 63.1897362225.

Adding to 252313 its reverse (313252), we get a palindrome (565565).

It can be divided in two parts, 252 and 313, that added together give a palindrome (565).

The spelling of 252313 in words is "two hundred fifty-two thousand, three hundred thirteen".