1277757100013 has 2 divisors, whose sum is σ = 1277757100014. Its totient is φ = 1277757100012.

The previous prime is 1277757099979. The next prime is 1277757100027. The reversal of 1277757100013 is 3100017577721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1005421327849 + 272335772164 = 1002707^2 + 521858^2 .

It is a cyclic number.

It is not a de Polignac number, because 1277757100013 - 2²⁰ = 1277756051437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1277757100313) 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, 638878550006 + 638878550007.

It is an arithmetic number, because the mean of its divisors is an integer number (638878550007).

Almost surely, 2^{1277757100013} is an apocalyptic number.

It is an amenable number.

1277757100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1277757100013 is an equidigital number, since it uses as much as digits as its factorization.

1277757100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72030, while the sum is 41.

The spelling of 1277757100013 in words is "one trillion, two hundred seventy-seven billion, seven hundred fifty-seven million, one hundred thousand, thirteen".