66133125 has 40 divisors (see below), whose sum is σ = 122460800. Its totient is φ = 35262000.

The previous prime is 66133121. The next prime is 66133153. The reversal of 66133125 is 52133166.

66133125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66133125 - 2² = 66133121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66133121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14916 + ... + 18834.

It is an arithmetic number, because the mean of its divisors is an integer number (3061520).

Almost surely, 2^66133125 is an apocalyptic number.

It is an amenable number.

66133125 is a deficient number, since it is larger than the sum of its proper divisors (56327675).

66133125 is an equidigital number, since it uses as much as digits as its factorization.

66133125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948 (or 3927 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 66133125 is about 8132.2275546126. The cubic root of 66133125 is about 404.3955317419.

The spelling of 66133125 in words is "sixty-six million, one hundred thirty-three thousand, one hundred twenty-five".