165651585254101 has 2 divisors, whose sum is σ = 165651585254102. Its totient is φ = 165651585254100.

The previous prime is 165651585254069. The next prime is 165651585254123. The reversal of 165651585254101 is 101452585156561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142988263372900 + 22663321881201 = 11957770^2 + 4760601^2 .

It is a cyclic number.

It is not a de Polignac number, because 165651585254101 - 2⁵ = 165651585254069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165651585254171) 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, 82825792627050 + 82825792627051.

It is an arithmetic number, because the mean of its divisors is an integer number (82825792627051).

Almost surely, 2^{165651585254101} is an apocalyptic number.

It is an amenable number.

165651585254101 is a deficient number, since it is larger than the sum of its proper divisors (1).

165651585254101 is an equidigital number, since it uses as much as digits as its factorization.

165651585254101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200000, while the sum is 55.

The spelling of 165651585254101 in words is "one hundred sixty-five trillion, six hundred fifty-one billion, five hundred eighty-five million, two hundred fifty-four thousand, one hundred one".