165331355616225 has 18 divisors (see below), whose sum is σ = 296126828059686. Its totient is φ = 88176722995200.

The previous prime is 165331355616149. The next prime is 165331355616233. The reversal of 165331355616225 is 522616553133561.

165331355616225 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 3 + 1 + 3 + 5 + 5 + 6 + 1 + 622 + 5 = 666.

165331355616225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 15180740685009 + 150150614931216 = 3896247^2 + 12253596^2 .

It is a de Polignac number, because none of the positive numbers 2^k-165331355616225 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 367403012256 + ... + 367403012705.

Almost surely, 2^{165331355616225} is an apocalyptic number.

165331355616225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165331355616225 is a deficient number, since it is larger than the sum of its proper divisors (130795472443461).

165331355616225 is a wasteful number, since it uses less digits than its factorization.

165331355616225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734806024977 (or 734806024969 counting only the distinct ones).

The product of its digits is 14580000, while the sum is 54.

The spelling of 165331355616225 in words is "one hundred sixty-five trillion, three hundred thirty-one billion, three hundred fifty-five million, six hundred sixteen thousand, two hundred twenty-five".