165975242579561 has 16 divisors (see below), whose sum is σ = 168086798366208. Its totient is φ = 163872929304000.

The previous prime is 165975242579557. The next prime is 165975242579567.

165975242579561 is nontrivially palindromic in base 10.

165975242579561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 165975242579561 - 2² = 165975242579557 is a prime.

It is a super-2 number, since 2×165975242579561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165975242579567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569685356 + ... + 569976626.

It is an arithmetic number, because the mean of its divisors is an integer number (10505424897888).

Almost surely, 2^{165975242579561} is an apocalyptic number.

It is an amenable number.

165975242579561 is a deficient number, since it is larger than the sum of its proper divisors (2111555786647).

165975242579561 is a wasteful number, since it uses less digits than its factorization.

165975242579561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307112.

The product of its digits is 1428840000, while the sum is 74.

The spelling of 165975242579561 in words is "one hundred sixty-five trillion, nine hundred seventy-five billion, two hundred forty-two million, five hundred seventy-nine thousand, five hundred sixty-one".