66132825 has 48 divisors (see below), whose sum is σ = 125587200. Its totient is φ = 30369600.

The previous prime is 66132821. The next prime is 66132929. The reversal of 66132825 is 52823166.

It is not a de Polignac number, because 66132825 - 2² = 66132821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (66132821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13566 + ... + 17784.

It is an arithmetic number, because the mean of its divisors is an integer number (2616400).

Almost surely, 2^66132825 is an apocalyptic number.

It is an amenable number.

66132825 is a deficient number, since it is larger than the sum of its proper divisors (59454375).

66132825 is a wasteful number, since it uses less digits than its factorization.

66132825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4257 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 66132825 is about 8132.2091094610. The cubic root of 66132825 is about 404.3949202538.

The spelling of 66132825 in words is "sixty-six million, one hundred thirty-two thousand, eight hundred twenty-five".