165983162418251 has 2 divisors, whose sum is σ = 165983162418252. Its totient is φ = 165983162418250.

The previous prime is 165983162418211. The next prime is 165983162418277. The reversal of 165983162418251 is 152814261389561.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 165983162418251 - 2¹⁰ = 165983162417227 is a prime.

It is not a weakly prime, because it can be changed into another prime (165983162418211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82991581209125 + 82991581209126.

It is an arithmetic number, because the mean of its divisors is an integer number (82991581209126).

Almost surely, 2^{165983162418251} is an apocalyptic number.

165983162418251 is a deficient number, since it is larger than the sum of its proper divisors (1).

165983162418251 is an equidigital number, since it uses as much as digits as its factorization.

165983162418251 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24883200, while the sum is 62.

The spelling of 165983162418251 in words is "one hundred sixty-five trillion, nine hundred eighty-three billion, one hundred sixty-two million, four hundred eighteen thousand, two hundred fifty-one".