2166072513673 has 2 divisors, whose sum is σ = 2166072513674. Its totient is φ = 2166072513672.

The previous prime is 2166072513623. The next prime is 2166072513677. The reversal of 2166072513673 is 3763152706612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1981712199289 + 184360314384 = 1407733^2 + 429372^2 .

It is a cyclic number.

It is not a de Polignac number, because 2166072513673 - 2¹⁷ = 2166072382601 is a prime.

It is not a weakly prime, because it can be changed into another prime (2166072513677) 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, 1083036256836 + 1083036256837.

It is an arithmetic number, because the mean of its divisors is an integer number (1083036256837).

Almost surely, 2^{2166072513673} is an apocalyptic number.

It is an amenable number.

2166072513673 is a deficient number, since it is larger than the sum of its proper divisors (1).

2166072513673 is an equidigital number, since it uses as much as digits as its factorization.

2166072513673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1905120, while the sum is 49.

The spelling of 2166072513673 in words is "two trillion, one hundred sixty-six billion, seventy-two million, five hundred thirteen thousand, six hundred seventy-three".