251267760761 has 2 divisors, whose sum is σ = 251267760762. Its totient is φ = 251267760760.

The previous prime is 251267760701. The next prime is 251267760803. The reversal of 251267760761 is 167067762152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220096092736 + 31171668025 = 469144^2 + 176555^2 .

It is a cyclic number.

It is not a de Polignac number, because 251267760761 - 2¹⁰ = 251267759737 is a prime.

It is not a weakly prime, because it can be changed into another prime (251267760701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125633880380 + 125633880381.

It is an arithmetic number, because the mean of its divisors is an integer number (125633880381).

Almost surely, 2^251267760761 is an apocalyptic number.

It is an amenable number.

251267760761 is a deficient number, since it is larger than the sum of its proper divisors (1).

251267760761 is an equidigital number, since it uses as much as digits as its factorization.

251267760761 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1481760, while the sum is 50.

The spelling of 251267760761 in words is "two hundred fifty-one billion, two hundred sixty-seven million, seven hundred sixty thousand, seven hundred sixty-one".