251831733701641 has 2 divisors, whose sum is σ = 251831733701642. Its totient is φ = 251831733701640.

The previous prime is 251831733701557. The next prime is 251831733701651. The reversal of 251831733701641 is 146107337138152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163083652517241 + 88748081184400 = 12770421^2 + 9420620^2 .

It is a cyclic number.

It is not a de Polignac number, because 251831733701641 - 2⁹ = 251831733701129 is a prime.

It is not a weakly prime, because it can be changed into another prime (251831733701651) 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, 125915866850820 + 125915866850821.

It is an arithmetic number, because the mean of its divisors is an integer number (125915866850821).

Almost surely, 2^{251831733701641} is an apocalyptic number.

It is an amenable number.

251831733701641 is a deficient number, since it is larger than the sum of its proper divisors (1).

251831733701641 is an equidigital number, since it uses as much as digits as its factorization.

251831733701641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 251831733701641 in words is "two hundred fifty-one trillion, eight hundred thirty-one billion, seven hundred thirty-three million, seven hundred one thousand, six hundred forty-one".