1257913556693 has 2 divisors, whose sum is σ = 1257913556694. Its totient is φ = 1257913556692.

The previous prime is 1257913556659. The next prime is 1257913556701. The reversal of 1257913556693 is 3966553197521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1198746886129 + 59166670564 = 1094873^2 + 243242^2 .

It is a cyclic number.

It is not a de Polignac number, because 1257913556693 - 2⁶ = 1257913556629 is a prime.

It is a super-2 number, since 2×1257913556693² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1257913550693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 628956778346 + 628956778347.

It is an arithmetic number, because the mean of its divisors is an integer number (628956778347).

Almost surely, 2^{1257913556693} is an apocalyptic number.

It is an amenable number.

1257913556693 is a deficient number, since it is larger than the sum of its proper divisors (1).

1257913556693 is an equidigital number, since it uses as much as digits as its factorization.

1257913556693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45927000, while the sum is 62.

The spelling of 1257913556693 in words is "one trillion, two hundred fifty-seven billion, nine hundred thirteen million, five hundred fifty-six thousand, six hundred ninety-three".