252813331795961 has 2 divisors, whose sum is σ = 252813331795962. Its totient is φ = 252813331795960.

The previous prime is 252813331795951. The next prime is 252813331795963. The reversal of 252813331795961 is 169597133318252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195829237210000 + 56984094585961 = 13993900^2 + 7548781^2 .

It is a cyclic number.

It is not a de Polignac number, because 252813331795961 - 2³⁸ = 252538453889017 is a prime.

It is a Sophie Germain prime.

Together with 252813331795963, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (252813331795963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126406665897980 + 126406665897981.

It is an arithmetic number, because the mean of its divisors is an integer number (126406665897981).

Almost surely, 2^{252813331795961} is an apocalyptic number.

It is an amenable number.

252813331795961 is a deficient number, since it is larger than the sum of its proper divisors (1).

252813331795961 is an equidigital number, since it uses as much as digits as its factorization.

252813331795961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 73483200, while the sum is 65.

The spelling of 252813331795961 in words is "two hundred fifty-two trillion, eight hundred thirteen billion, three hundred thirty-one million, seven hundred ninety-five thousand, nine hundred sixty-one".