251461141601 has 2 divisors, whose sum is σ = 251461141602. Its totient is φ = 251461141600.

The previous prime is 251461141597. The next prime is 251461141609. The reversal of 251461141601 is 106141164152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 222765120400 + 28696021201 = 471980^2 + 169399^2 .

It is a cyclic number.

It is not a de Polignac number, because 251461141601 - 2² = 251461141597 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 (251461141609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125730570800 + 125730570801.

It is an arithmetic number, because the mean of its divisors is an integer number (125730570801).

Almost surely, 2^251461141601 is an apocalyptic number.

It is an amenable number.

251461141601 is a deficient number, since it is larger than the sum of its proper divisors (1).

251461141601 is an equidigital number, since it uses as much as digits as its factorization.

251461141601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 251461141601 in words is "two hundred fifty-one billion, four hundred sixty-one million, one hundred forty-one thousand, six hundred one".