66556125 has 48 divisors (see below), whose sum is σ = 121907136. Its totient is φ = 34927200.

The previous prime is 66556117. The next prime is 66556141. The reversal of 66556125 is 52165566.

It is a happy number.

It is not a de Polignac number, because 66556125 - 2³ = 66556117 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 66556125.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 74934 + ... + 75816.

It is an arithmetic number, because the mean of its divisors is an integer number (2539732).

Almost surely, 2^66556125 is an apocalyptic number.

It is an amenable number.

66556125 is a deficient number, since it is larger than the sum of its proper divisors (55351011).

66556125 is a wasteful number, since it uses less digits than its factorization.

66556125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 958 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 66556125 is about 8158.1937339095. The cubic root of 66556125 is about 405.2558968068.

The spelling of 66556125 in words is "sixty-six million, five hundred fifty-six thousand, one hundred twenty-five".