251972610941 has 2 divisors, whose sum is σ = 251972610942. Its totient is φ = 251972610940.

The previous prime is 251972610919. The next prime is 251972610961. The reversal of 251972610941 is 149016279152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 238231848100 + 13740762841 = 488090^2 + 117221^2 .

It is a cyclic number.

It is not a de Polignac number, because 251972610941 - 2²⁶ = 251905502077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251972610961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125986305470 + 125986305471.

It is an arithmetic number, because the mean of its divisors is an integer number (125986305471).

Almost surely, 2^251972610941 is an apocalyptic number.

It is an amenable number.

251972610941 is a deficient number, since it is larger than the sum of its proper divisors (1).

251972610941 is an equidigital number, since it uses as much as digits as its factorization.

251972610941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 47.

The spelling of 251972610941 in words is "two hundred fifty-one billion, nine hundred seventy-two million, six hundred ten thousand, nine hundred forty-one".