251064046511 has 2 divisors, whose sum is σ = 251064046512. Its totient is φ = 251064046510.

The previous prime is 251064046451. The next prime is 251064046529. The reversal of 251064046511 is 115640460152.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 251064046511 - 2⁶ = 251064046447 is a prime.

It is a super-3 number, since 3×251064046511³ (a number of 35 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251064046561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125532023255 + 125532023256.

It is an arithmetic number, because the mean of its divisors is an integer number (125532023256).

Almost surely, 2^251064046511 is an apocalyptic number.

251064046511 is a deficient number, since it is larger than the sum of its proper divisors (1).

251064046511 is an equidigital number, since it uses as much as digits as its factorization.

251064046511 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 251064046511 in words is "two hundred fifty-one billion, sixty-four million, forty-six thousand, five hundred eleven".