2611667166637 has 2 divisors, whose sum is σ = 2611667166638. Its totient is φ = 2611667166636.

The previous prime is 2611667166611. The next prime is 2611667166653. The reversal of 2611667166637 is 7366617661162.

2611667166637 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., 2593326965161 + 18340201476 = 1610381^2 + 135426^2 .

It is a cyclic number.

It is not a de Polignac number, because 2611667166637 - 2²⁷ = 2611532948909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2611667166607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1305833583318 + 1305833583319.

It is an arithmetic number, because the mean of its divisors is an integer number (1305833583319).

Almost surely, 2^{2611667166637} is an apocalyptic number.

It is an amenable number.

2611667166637 is a deficient number, since it is larger than the sum of its proper divisors (1).

2611667166637 is an equidigital number, since it uses as much as digits as its factorization.

2611667166637 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13716864, while the sum is 58.

The spelling of 2611667166637 in words is "two trillion, six hundred eleven billion, six hundred sixty-seven million, one hundred sixty-six thousand, six hundred thirty-seven".