165782287561 has 16 divisors (see below), whose sum is σ = 182492448768. Its totient is φ = 149348102400.

The previous prime is 165782287547. The next prime is 165782287609.

165782287561 is nontrivially palindromic in base 10.

165782287561 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 165782287561 - 2⁹ = 165782287049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 165782287496 and 165782287505.

It is not an unprimeable number, because it can be changed into a prime (165782287361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1122081 + ... + 1261201.

It is an arithmetic number, because the mean of its divisors is an integer number (11405778048).

Almost surely, 2^165782287561 is an apocalyptic number.

165782287561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

165782287561 is a deficient number, since it is larger than the sum of its proper divisors (16710161207).

165782287561 is a wasteful number, since it uses less digits than its factorization.

165782287561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140112.

The product of its digits is 11289600, while the sum is 58.

The spelling of 165782287561 in words is "one hundred sixty-five billion, seven hundred eighty-two million, two hundred eighty-seven thousand, five hundred sixty-one".