165864457325 has 36 divisors (see below), whose sum is σ = 239301240660. Its totient is φ = 113711754240.

The previous prime is 165864457309. The next prime is 165864457331. The reversal of 165864457325 is 523754468561.

165864457325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 27323428804 + 138541028521 = 165298^2 + 372211^2 .

It is not a de Polignac number, because 165864457325 - 2⁴ = 165864457309 is a prime.

It is a super-2 number, since 2×165864457325² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 7403741 + ... + 7426109.

It is an arithmetic number, because the mean of its divisors is an integer number (6647256685).

Almost surely, 2^165864457325 is an apocalyptic number.

It is an amenable number.

165864457325 is a deficient number, since it is larger than the sum of its proper divisors (73436783335).

165864457325 is a wasteful number, since it uses less digits than its factorization.

165864457325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28446 (or 28434 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 56.

The spelling of 165864457325 in words is "one hundred sixty-five billion, eight hundred sixty-four million, four hundred fifty-seven thousand, three hundred twenty-five".