54946125 has 108 divisors (see below), whose sum is σ = 113935068. Its totient is φ = 25459200.

The previous prime is 54946123. The next prime is 54946141. The reversal of 54946125 is 52164945.

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.

54946125 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 18 ways, for example, as 54552996 + 393129 = 7386^2 + 627^2 .

It is not a de Polignac number, because 54946125 - 2¹ = 54946123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54946125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54946123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3232117 + ... + 3232133.

Almost surely, 2^54946125 is an apocalyptic number.

It is an amenable number.

54946125 is an abundant number, since it is smaller than the sum of its proper divisors (58988943).

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

54946125 is a wasteful number, since it uses less digits than its factorization.

54946125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 38 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 54946125 is about 7412.5653454118. The cubic root of 54946125 is about 380.1710333501.

The spelling of 54946125 in words is "fifty-four million, nine hundred forty-six thousand, one hundred twenty-five".