165873281625 has 128 divisors (see below), whose sum is σ = 313193287680. Its totient is φ = 86601312000.

The previous prime is 165873281597. The next prime is 165873281687. The reversal of 165873281625 is 526182378561.

165873281625 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 7 + 3 + 2 + 8 + 1 + 625 = 666.

It is not a de Polignac number, because 165873281625 - 2⁸ = 165873281369 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45908319 + ... + 45911931.

It is an arithmetic number, because the mean of its divisors is an integer number (2446822560).

Almost surely, 2^165873281625 is an apocalyptic number.

165873281625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165873281625 is a deficient number, since it is larger than the sum of its proper divisors (147320006055).

165873281625 is a wasteful number, since it uses less digits than its factorization.

165873281625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3905 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 165873281625 in words is "one hundred sixty-five billion, eight hundred seventy-three million, two hundred eighty-one thousand, six hundred twenty-five".