54625563 has 32 divisors (see below), whose sum is σ = 83980800. Its totient is φ = 35070048.

The previous prime is 54625553. The next prime is 54625567. The reversal of 54625563 is 36552645.

It is a happy number.

54625563 is a `hidden beast` number, since 546 + 2 + 55 + 63 = 666.

It is not a de Polignac number, because 54625563 - 2⁶ = 54625499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54625567) 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 31 ways as a sum of consecutive naturals, for example, 84106 + ... + 84752.

It is an arithmetic number, because the mean of its divisors is an integer number (2624400).

Almost surely, 2^54625563 is an apocalyptic number.

54625563 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

54625563 is a deficient number, since it is larger than the sum of its proper divisors (29355237).

54625563 is a wasteful number, since it uses less digits than its factorization.

54625563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 762 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 54625563 is about 7390.9108369673. The cubic root of 54625563 is about 379.4302704300.

It can be divided in two parts, 5462 and 5563, that added together give a square (11025 = 105²).

The spelling of 54625563 in words is "fifty-four million, six hundred twenty-five thousand, five hundred sixty-three".