54390625 has 21 divisors (see below), whose sum is σ = 69159271. Its totient is φ = 42775000.

The previous prime is 54390563. The next prime is 54390643. The reversal of 54390625 is 52609345.

The square root of 54390625 is 7375.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 47651409 + 6739216 = 6903^2 + 2596^2 .

It is not a de Polignac number, because 54390625 - 2⁹ = 54390113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 921846 + ... + 921904.

Almost surely, 2^54390625 is an apocalyptic number.

54390625 is the 7375-th square number.

54390625 is the 3688-th centered octagonal number.

It is an amenable number.

54390625 is a deficient number, since it is larger than the sum of its proper divisors (14768646).

54390625 is an frugal number, since it uses more digits than its factorization.

54390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The cubic root of 54390625 is about 378.8855273501.

Multiplying 54390625 by its product of nonzero digits (32400), we get a square (1762256250000 = 1327500²).

The spelling of 54390625 in words is "fifty-four million, three hundred ninety thousand, six hundred twenty-five".