251658722741 has 2 divisors, whose sum is σ = 251658722742. Its totient is φ = 251658722740.

The previous prime is 251658722719. The next prime is 251658722761. The reversal of 251658722741 is 147227856152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 234822622225 + 16836100516 = 484585^2 + 129754^2 .

It is a cyclic number.

It is not a de Polignac number, because 251658722741 - 2¹⁴ = 251658706357 is a prime.

It is a super-2 number, since 2×251658722741² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 251658722741.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251658722761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125829361370 + 125829361371.

It is an arithmetic number, because the mean of its divisors is an integer number (125829361371).

Almost surely, 2^251658722741 is an apocalyptic number.

It is an amenable number.

251658722741 is a deficient number, since it is larger than the sum of its proper divisors (1).

251658722741 is an equidigital number, since it uses as much as digits as its factorization.

251658722741 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1881600, while the sum is 50.

The spelling of 251658722741 in words is "two hundred fifty-one billion, six hundred fifty-eight million, seven hundred twenty-two thousand, seven hundred forty-one".