54165825 has 108 divisors (see below), whose sum is σ = 119908620. Its totient is φ = 23304960.

The previous prime is 54165809. The next prime is 54165871. The reversal of 54165825 is 52856145.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 451584 + 53714241 = 672^2 + 7329^2 .

It is not a de Polignac number, because 54165825 - 2⁴ = 54165809 is a prime.

Its product of digits (48000) is a multiple of the sum of its prime divisors (32).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 54165825.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3186217 + ... + 3186233.

It is an arithmetic number, because the mean of its divisors is an integer number (1110265).

Almost surely, 2^54165825 is an apocalyptic number.

It is an amenable number.

54165825 is an abundant number, since it is smaller than the sum of its proper divisors (65742795).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54165825 is a wasteful number, since it uses less digits than its factorization.

54165825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 32 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 54165825 is about 7359.7435417275. The cubic root of 54165825 is about 378.3628203626.

It can be divided in two parts, 541 and 65825, that added together give a palindrome (66366).

The spelling of 54165825 in words is "fifty-four million, one hundred sixty-five thousand, eight hundred twenty-five".