54653625 has 96 divisors (see below), whose sum is σ = 110047392. Its totient is φ = 25920000.

The previous prime is 54653617. The next prime is 54653629. The reversal of 54653625 is 52635645.

It is a happy number.

54653625 is a `hidden beast` number, since 546 + 53 + 62 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 21233664 + 33419961 = 4608^2 + 5781^2 .

It is not a de Polignac number, because 54653625 - 2³ = 54653617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54653625.

It is not an unprimeable number, because it can be changed into a prime (54653629) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 541075 + ... + 541175.

It is an arithmetic number, because the mean of its divisors is an integer number (1146327).

Almost surely, 2^54653625 is an apocalyptic number.

It is an amenable number.

54653625 is an abundant number, since it is smaller than the sum of its proper divisors (55393767).

54653625 is a wasteful number, since it uses less digits than its factorization.

54653625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

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

The square root of 54653625 is about 7392.8090060545. The cubic root of 54653625 is about 379.4952323814.

It can be divided in two parts, 54653 and 625, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 54653625 in words is "fifty-four million, six hundred fifty-three thousand, six hundred twenty-five".