165671406959593 has 2 divisors, whose sum is σ = 165671406959594. Its totient is φ = 165671406959592.

The previous prime is 165671406959561. The next prime is 165671406959701. The reversal of 165671406959593 is 395959604176561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127007783471529 + 38663623488064 = 11269773^2 + 6218008^2 .

It is a cyclic number.

It is not a de Polignac number, because 165671406959593 - 2⁵ = 165671406959561 is a prime.

It is not a weakly prime, because it can be changed into another prime (165671406959393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82835703479796 + 82835703479797.

It is an arithmetic number, because the mean of its divisors is an integer number (82835703479797).

Almost surely, 2^{165671406959593} is an apocalyptic number.

It is an amenable number.

165671406959593 is a deficient number, since it is larger than the sum of its proper divisors (1).

165671406959593 is an equidigital number, since it uses as much as digits as its factorization.

165671406959593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1653372000, while the sum is 76.

The spelling of 165671406959593 in words is "one hundred sixty-five trillion, six hundred seventy-one billion, four hundred six million, nine hundred fifty-nine thousand, five hundred ninety-three".