165166065060561 has 24 divisors (see below), whose sum is σ = 238774750733064. Its totient is φ = 110017727815680.

The previous prime is 165166065060541. The next prime is 165166065060583. The reversal of 165166065060561 is 165060560661561.

165166065060561 is a `hidden beast` number, since 1 + 6 + 5 + 16 + 6 + 0 + 6 + 5 + 0 + 60 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7583100561 + 165158481960000 = 87081^2 + 12851400^2 .

It is not a de Polignac number, because 165166065060561 - 2²¹ = 165166062963409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 165166065060498 and 165166065060507.

It is not an unprimeable number, because it can be changed into a prime (165166065060541) 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 in 23 ways as a sum of consecutive naturals, for example, 49486041 + ... + 52718121.

It is an arithmetic number, because the mean of its divisors is an integer number (9948947947211).

Almost surely, 2^{165166065060561} is an apocalyptic number.

It is an amenable number.

165166065060561 is a deficient number, since it is larger than the sum of its proper divisors (73608685672503).

165166065060561 is a wasteful number, since it uses less digits than its factorization.

165166065060561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236881 (or 3236878 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 165166065060561 in words is "one hundred sixty-five trillion, one hundred sixty-six billion, sixty-five million, sixty thousand, five hundred sixty-one".