54201625 has 16 divisors (see below), whose sum is σ = 67970448. Its totient is φ = 43152000.

The previous prime is 54201619. The next prime is 54201677. The reversal of 54201625 is 52610245.

54201625 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 8 ways, for example, as 44782864 + 9418761 = 6692^2 + 3069^2 .

It is not a de Polignac number, because 54201625 - 2¹¹ = 54199577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54201625.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 28195 + ... + 30055.

It is an arithmetic number, because the mean of its divisors is an integer number (4248153).

Almost surely, 2^54201625 is an apocalyptic number.

It is an amenable number.

54201625 is a deficient number, since it is larger than the sum of its proper divisors (13768823).

54201625 is a wasteful number, since it uses less digits than its factorization.

54201625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 54201625 is about 7362.1752899534. The cubic root of 54201625 is about 378.4461595398.

The spelling of 54201625 in words is "fifty-four million, two hundred one thousand, six hundred twenty-five".