252952901185921 has 2 divisors, whose sum is σ = 252952901185922. Its totient is φ = 252952901185920.

The previous prime is 252952901185807. The next prime is 252952901185967. The reversal of 252952901185921 is 129581109259252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 245231371818225 + 7721529367696 = 15659865^2 + 2778764^2 .

It is a cyclic number.

It is not a de Polignac number, because 252952901185921 - 2¹⁵ = 252952901153153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 252952901185921.

It is not a weakly prime, because it can be changed into another prime (252952901185981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126476450592960 + 126476450592961.

It is an arithmetic number, because the mean of its divisors is an integer number (126476450592961).

Almost surely, 2^{252952901185921} is an apocalyptic number.

It is an amenable number.

252952901185921 is a deficient number, since it is larger than the sum of its proper divisors (1).

252952901185921 is an equidigital number, since it uses as much as digits as its factorization.

252952901185921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664000, while the sum is 61.

The spelling of 252952901185921 in words is "two hundred fifty-two trillion, nine hundred fifty-two billion, nine hundred one million, one hundred eighty-five thousand, nine hundred twenty-one".