1251310319257 has 2 divisors, whose sum is σ = 1251310319258. Its totient is φ = 1251310319256.

The previous prime is 1251310319219. The next prime is 1251310319267. The reversal of 1251310319257 is 7529130131521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1059903194256 + 191407125001 = 1029516^2 + 437501^2 .

It is a cyclic number.

It is not a de Polignac number, because 1251310319257 - 2¹¹ = 1251310317209 is a prime.

It is not a weakly prime, because it can be changed into another prime (1251310319267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 625655159628 + 625655159629.

It is an arithmetic number, because the mean of its divisors is an integer number (625655159629).

Almost surely, 2^{1251310319257} is an apocalyptic number.

It is an amenable number.

1251310319257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1251310319257 is an equidigital number, since it uses as much as digits as its factorization.

1251310319257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56700, while the sum is 40.

The spelling of 1251310319257 in words is "one trillion, two hundred fifty-one billion, three hundred ten million, three hundred nineteen thousand, two hundred fifty-seven".