1277765125013 has 16 divisors (see below), whose sum is σ = 1394250505200. Its totient is φ = 1163931225600.

The previous prime is 1277765125001. The next prime is 1277765125027. The reversal of 1277765125013 is 3105215677721.

It can be written as a sum of positive squares in 8 ways, for example, as 317400404689 + 960364720324 = 563383^2 + 979982^2 .

It is not a de Polignac number, because 1277765125013 - 2⁴ = 1277765124997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1277765125033) 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 in 15 ways as a sum of consecutive naturals, for example, 495938 + ... + 1673763.

It is an arithmetic number, because the mean of its divisors is an integer number (87140656575).

Almost surely, 2^{1277765125013} is an apocalyptic number.

1277765125013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1277765125013 is a deficient number, since it is larger than the sum of its proper divisors (116485380187).

1277765125013 is a wasteful number, since it uses less digits than its factorization.

1277765125013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170312.

The product of its (nonzero) digits is 617400, while the sum is 47.

The spelling of 1277765125013 in words is "one trillion, two hundred seventy-seven billion, seven hundred sixty-five million, one hundred twenty-five thousand, thirteen".