165012404210561 has 8 divisors (see below), whose sum is σ = 167718883857984. Its totient is φ = 162305968378320.

The previous prime is 165012404210513. The next prime is 165012404210593.

165012404210561 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 165012404210561 - 2²² = 165012400016257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165012404210501) 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 7 ways as a sum of consecutive naturals, for example, 3316511 + ... + 18466836.

It is an arithmetic number, because the mean of its divisors is an integer number (20964860482248).

Almost surely, 2^{165012404210561} is an apocalyptic number.

It is an amenable number.

165012404210561 is a deficient number, since it is larger than the sum of its proper divisors (2706479647423).

165012404210561 is a wasteful number, since it uses less digits than its factorization.

165012404210561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21907591.

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 165012404210561 in words is "one hundred sixty-five trillion, twelve billion, four hundred four million, two hundred ten thousand, five hundred sixty-one".