54968625 has 80 divisors (see below), whose sum is σ = 105328080. Its totient is φ = 28512000.

The previous prime is 54968623. The next prime is 54968629. The reversal of 54968625 is 52686945.

54968625 is a `hidden beast` number, since 549 + 6 + 86 + 25 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 42458256 + 12510369 = 6516^2 + 3537^2 .

It is not a de Polignac number, because 54968625 - 2¹ = 54968623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54968623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 617581 + ... + 617669.

It is an arithmetic number, because the mean of its divisors is an integer number (1316601).

Almost surely, 2^54968625 is an apocalyptic number.

It is an amenable number.

54968625 is a deficient number, since it is larger than the sum of its proper divisors (50359455).

54968625 is an equidigital number, since it uses as much as digits as its factorization.

54968625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 54968625 is about 7414.0828832702. The cubic root of 54968625 is about 380.2229186040. Note that the first 3 decimals are identical.

The spelling of 54968625 in words is "fifty-four million, nine hundred sixty-eight thousand, six hundred twenty-five".