165565565601051 has 96 divisors (see below), whose sum is σ = 295966619642880. Its totient is φ = 81275431641600.

The previous prime is 165565565601031. The next prime is 165565565601077. The reversal of 165565565601051 is 150106565565561.

165565565601051 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 165565565601051 - 2¹¹ = 165565565599003 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 165565565600982 and 165565565601000.

It is not an unprimeable number, because it can be changed into a prime (165565565601031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35356770 + ... + 39764711.

It is an arithmetic number, because the mean of its divisors is an integer number (3082985621280).

Almost surely, 2^{165565565601051} is an apocalyptic number.

165565565601051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

165565565601051 is a deficient number, since it is larger than the sum of its proper divisors (130401054041829).

165565565601051 is a wasteful number, since it uses less digits than its factorization.

165565565601051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75121585 (or 75121578 counting only the distinct ones).

The product of its (nonzero) digits is 20250000, while the sum is 57.

The spelling of 165565565601051 in words is "one hundred sixty-five trillion, five hundred sixty-five billion, five hundred sixty-five million, six hundred one thousand, fifty-one".