165907272961 has 12 divisors (see below), whose sum is σ = 166914127116. Its totient is φ = 164906004480.

The previous prime is 165907272953. The next prime is 165907272989. The reversal of 165907272961 is 169272709561.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1137038400 + 164770234561 = 33720^2 + 405919^2 .

It is not a de Polignac number, because 165907272961 - 2³ = 165907272953 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165907272931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34439625 + ... + 34444441.

It is an arithmetic number, because the mean of its divisors is an integer number (13909510593).

Almost surely, 2^165907272961 is an apocalyptic number.

It is an amenable number.

165907272961 is a deficient number, since it is larger than the sum of its proper divisors (1006854155).

165907272961 is an frugal number, since it uses more digits than its factorization.

165907272961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 55.

The spelling of 165907272961 in words is "one hundred sixty-five billion, nine hundred seven million, two hundred seventy-two thousand, nine hundred sixty-one".