251631265667 has 2 divisors, whose sum is σ = 251631265668. Its totient is φ = 251631265666.

The previous prime is 251631265619. The next prime is 251631265687. The reversal of 251631265667 is 766562136152.

It is a happy number.

251631265667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 251631265667 - 2¹⁴ = 251631249283 is a prime.

It is a super-2 number, since 2×251631265667² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (251631265687) 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, 125815632833 + 125815632834.

It is an arithmetic number, because the mean of its divisors is an integer number (125815632834).

Almost surely, 2^251631265667 is an apocalyptic number.

251631265667 is a deficient number, since it is larger than the sum of its proper divisors (1).

251631265667 is an equidigital number, since it uses as much as digits as its factorization.

251631265667 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2721600, while the sum is 50.

The spelling of 251631265667 in words is "two hundred fifty-one billion, six hundred thirty-one million, two hundred sixty-five thousand, six hundred sixty-seven".