66565125 has 96 divisors (see below), whose sum is σ = 136106880. Its totient is φ = 32076000.

The previous prime is 66565117. The next prime is 66565129. The reversal of 66565125 is 52156566.

It is a happy number.

It is not a de Polignac number, because 66565125 - 2³ = 66565117 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 66565125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66565129) 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, 408294 + ... + 408456.

It is an arithmetic number, because the mean of its divisors is an integer number (1417780).

Almost surely, 2^66565125 is an apocalyptic number.

It is an amenable number.

66565125 is an abundant number, since it is smaller than the sum of its proper divisors (69541755).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66565125 is a wasteful number, since it uses less digits than its factorization.

66565125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 182 counting only the distinct ones).

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

The square root of 66565125 is about 8158.7453079502. The cubic root of 66565125 is about 405.2741627874.

It can be divided in two parts, 6656 and 5125, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 66565125 in words is "sixty-six million, five hundred sixty-five thousand, one hundred twenty-five".