2675636768137 has 2 divisors, whose sum is σ = 2675636768138. Its totient is φ = 2675636768136.

The previous prime is 2675636768111. The next prime is 2675636768149. The reversal of 2675636768137 is 7318676365762.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1981954336761 + 693682431376 = 1407819^2 + 832876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2675636768137 is a prime.

It is a super-2 number, since 2×2675636768137² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2675636768537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1337818384068 + 1337818384069.

It is an arithmetic number, because the mean of its divisors is an integer number (1337818384069).

Almost surely, 2^{2675636768137} is an apocalyptic number.

It is an amenable number.

2675636768137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2675636768137 is an equidigital number, since it uses as much as digits as its factorization.

2675636768137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 320060160, while the sum is 67.

The spelling of 2675636768137 in words is "two trillion, six hundred seventy-five billion, six hundred thirty-six million, seven hundred sixty-eight thousand, one hundred thirty-seven".