251261275301 has 2 divisors, whose sum is σ = 251261275302. Its totient is φ = 251261275300.

The previous prime is 251261275201. The next prime is 251261275313. The reversal of 251261275301 is 103572162152.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 140738272801 + 110523002500 = 375151^2 + 332450^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-251261275301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (251261275351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125630637650 + 125630637651.

It is an arithmetic number, because the mean of its divisors is an integer number (125630637651).

Almost surely, 2^251261275301 is an apocalyptic number.

It is an amenable number.

251261275301 is a deficient number, since it is larger than the sum of its proper divisors (1).

251261275301 is an equidigital number, since it uses as much as digits as its factorization.

251261275301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 251261275301 in words is "two hundred fifty-one billion, two hundred sixty-one million, two hundred seventy-five thousand, three hundred one".