165677591053001 has 2 divisors, whose sum is σ = 165677591053002. Its totient is φ = 165677591053000.

The previous prime is 165677591052937. The next prime is 165677591053067. The reversal of 165677591053001 is 100350195776561.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164085237299776 + 1592353753225 = 12809576^2 + 1261885^2 .

It is a cyclic number.

It is not a de Polignac number, because 165677591053001 - 2⁶ = 165677591052937 is a prime.

It is a super-4 number, since 4×165677591053001⁴ (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (165677591253001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82838795526500 + 82838795526501.

It is an arithmetic number, because the mean of its divisors is an integer number (82838795526501).

Almost surely, 2^{165677591053001} is an apocalyptic number.

It is an amenable number.

165677591053001 is a deficient number, since it is larger than the sum of its proper divisors (1).

165677591053001 is an equidigital number, since it uses as much as digits as its factorization.

165677591053001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5953500, while the sum is 56.

The spelling of 165677591053001 in words is "one hundred sixty-five trillion, six hundred seventy-seven billion, five hundred ninety-one million, fifty-three thousand, one".