2166885590137 has 2 divisors, whose sum is σ = 2166885590138. Its totient is φ = 2166885590136.

The previous prime is 2166885590113. The next prime is 2166885590143. The reversal of 2166885590137 is 7310955886612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2162440834576 + 4444755561 = 1470524^2 + 66669^2 .

It is a cyclic number.

It is not a de Polignac number, because 2166885590137 - 2¹¹ = 2166885588089 is a prime.

It is not a weakly prime, because it can be changed into another prime (2166885540137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1083442795068 + 1083442795069.

It is an arithmetic number, because the mean of its divisors is an integer number (1083442795069).

Almost surely, 2^{2166885590137} is an apocalyptic number.

It is an amenable number.

2166885590137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2166885590137 is an equidigital number, since it uses as much as digits as its factorization.

2166885590137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21772800, while the sum is 61.

The spelling of 2166885590137 in words is "two trillion, one hundred sixty-six billion, eight hundred eighty-five million, five hundred ninety thousand, one hundred thirty-seven".