13775128827637 has 2 divisors, whose sum is σ = 13775128827638. Its totient is φ = 13775128827636.

The previous prime is 13775128827589. The next prime is 13775128827641. The reversal of 13775128827637 is 73672882157731.

13775128827637 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8015925600081 + 5759203227556 = 2831241^2 + 2399834^2 .

It is an emirp because it is prime and its reverse (73672882157731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13775128827637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13775128827137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6887564413818 + 6887564413819.

It is an arithmetic number, because the mean of its divisors is an integer number (6887564413819).

Almost surely, 2^{13775128827637} is an apocalyptic number.

It is an amenable number.

13775128827637 is a deficient number, since it is larger than the sum of its proper divisors (1).

13775128827637 is an equidigital number, since it uses as much as digits as its factorization.

13775128827637 is an evil number, because the sum of its binary digits is even.

The product of its digits is 165957120, while the sum is 67.

The spelling of 13775128827637 in words is "thirteen trillion, seven hundred seventy-five billion, one hundred twenty-eight million, eight hundred twenty-seven thousand, six hundred thirty-seven".