165864408133 has 2 divisors, whose sum is σ = 165864408134. Its totient is φ = 165864408132.

The previous prime is 165864408109. The next prime is 165864408257. The reversal of 165864408133 is 331804468561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158963284804 + 6901123329 = 398702^2 + 83073^2 .

It is a cyclic number.

It is not a de Polignac number, because 165864408133 - 2²¹ = 165862310981 is a prime.

It is a super-2 number, since 2×165864408133² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165864438133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82932204066 + 82932204067.

It is an arithmetic number, because the mean of its divisors is an integer number (82932204067).

Almost surely, 2^165864408133 is an apocalyptic number.

It is an amenable number.

165864408133 is a deficient number, since it is larger than the sum of its proper divisors (1).

165864408133 is an equidigital number, since it uses as much as digits as its factorization.

165864408133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 165864408133 in words is "one hundred sixty-five billion, eight hundred sixty-four million, four hundred eight thousand, one hundred thirty-three".