251134251257 has 2 divisors, whose sum is σ = 251134251258. Its totient is φ = 251134251256.

The previous prime is 251134251233. The next prime is 251134251299. The reversal of 251134251257 is 752152431152.

251134251257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 170853262336 + 80280988921 = 413344^2 + 283339^2 .

It is a cyclic number.

It is not a de Polignac number, because 251134251257 - 2²⁰ = 251133202681 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 251134251257.

It is not a weakly prime, because it can be changed into another prime (251134254257) 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, 125567125628 + 125567125629.

It is an arithmetic number, because the mean of its divisors is an integer number (125567125629).

Almost surely, 2^251134251257 is an apocalyptic number.

It is an amenable number.

251134251257 is a deficient number, since it is larger than the sum of its proper divisors (1).

251134251257 is an equidigital number, since it uses as much as digits as its factorization.

251134251257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84000, while the sum is 38.

The spelling of 251134251257 in words is "two hundred fifty-one billion, one hundred thirty-four million, two hundred fifty-one thousand, two hundred fifty-seven".