251327820761 has 2 divisors, whose sum is σ = 251327820762. Its totient is φ = 251327820760.

The previous prime is 251327820743. The next prime is 251327820787. The reversal of 251327820761 is 167028723152.

251327820761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 242457760000 + 8870060761 = 492400^2 + 94181^2 .

It is a cyclic number.

It is not a de Polignac number, because 251327820761 - 2³⁴ = 234147951577 is a prime.

It is not a weakly prime, because it can be changed into another prime (251327880761) 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, 125663910380 + 125663910381.

It is an arithmetic number, because the mean of its divisors is an integer number (125663910381).

Almost surely, 2^251327820761 is an apocalyptic number.

It is an amenable number.

251327820761 is a deficient number, since it is larger than the sum of its proper divisors (1).

251327820761 is an equidigital number, since it uses as much as digits as its factorization.

251327820761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 251327820761 in words is "two hundred fifty-one billion, three hundred twenty-seven million, eight hundred twenty thousand, seven hundred sixty-one".