2675637816637 has 2 divisors, whose sum is σ = 2675637816638. Its totient is φ = 2675637816636.

The previous prime is 2675637816629. The next prime is 2675637816679. The reversal of 2675637816637 is 7366187365762.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2488604055961 + 187033760676 = 1577531^2 + 432474^2 .

It is a cyclic number.

It is not a de Polignac number, because 2675637816637 - 2³ = 2675637816629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2675637886637) 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, 1337818908318 + 1337818908319.

It is an arithmetic number, because the mean of its divisors is an integer number (1337818908319).

Almost surely, 2^{2675637816637} is an apocalyptic number.

It is an amenable number.

2675637816637 is a deficient number, since it is larger than the sum of its proper divisors (1).

2675637816637 is an equidigital number, since it uses as much as digits as its factorization.

2675637816637 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 2675637816637 in words is "two trillion, six hundred seventy-five billion, six hundred thirty-seven million, eight hundred sixteen thousand, six hundred thirty-seven".