252013313 has 2 divisors, whose sum is σ = 252013314. Its totient is φ = 252013312.

The previous prime is 252013273. The next prime is 252013319. The reversal of 252013313 is 313310252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 239847169 + 12166144 = 15487^2 + 3488^2 .

It is a cyclic number.

It is not a de Polignac number, because 252013313 - 2⁸ = 252013057 is a prime.

It is not a weakly prime, because it can be changed into another prime (252013319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126006656 + 126006657.

It is an arithmetic number, because the mean of its divisors is an integer number (126006657).

Almost surely, 2^252013313 is an apocalyptic number.

It is an amenable number.

252013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

252013313 is an equidigital number, since it uses as much as digits as its factorization.

252013313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 252013313 is about 15874.9271809354. The cubic root of 252013313 is about 631.6470825453.

Adding to 252013313 its reverse (313310252), we get a palindrome (565323565).

The spelling of 252013313 in words is "two hundred fifty-two million, thirteen thousand, three hundred thirteen".