252251005313 has 2 divisors, whose sum is σ = 252251005314. Its totient is φ = 252251005312.

The previous prime is 252251005297. The next prime is 252251005333. The reversal of 252251005313 is 313500152252.

252251005313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251956814209 + 294191104 = 501953^2 + 17152^2 .

It is a cyclic number.

It is not a de Polignac number, because 252251005313 - 2⁴ = 252251005297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (252251005333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126125502656 + 126125502657.

It is an arithmetic number, because the mean of its divisors is an integer number (126125502657).

Almost surely, 2^252251005313 is an apocalyptic number.

It is an amenable number.

252251005313 is a deficient number, since it is larger than the sum of its proper divisors (1).

252251005313 is an equidigital number, since it uses as much as digits as its factorization.

252251005313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9000, while the sum is 29.

Adding to 252251005313 its reverse (313500152252), we get a palindrome (565751157565).

The spelling of 252251005313 in words is "two hundred fifty-two billion, two hundred fifty-one million, five thousand, three hundred thirteen".