251416326401 has 2 divisors, whose sum is σ = 251416326402. Its totient is φ = 251416326400.

The previous prime is 251416326319. The next prime is 251416326431. The reversal of 251416326401 is 104623614152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 248600962801 + 2815363600 = 498599^2 + 53060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-251416326401 is a prime.

It is a super-2 number, since 2×251416326401² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (251416326431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125708163200 + 125708163201.

It is an arithmetic number, because the mean of its divisors is an integer number (125708163201).

Almost surely, 2^251416326401 is an apocalyptic number.

It is an amenable number.

251416326401 is a deficient number, since it is larger than the sum of its proper divisors (1).

251416326401 is an equidigital number, since it uses as much as digits as its factorization.

251416326401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 251416326401 in words is "two hundred fifty-one billion, four hundred sixteen million, three hundred twenty-six thousand, four hundred one".