66066125 has 12 divisors (see below), whose sum is σ = 82564092. Its totient is φ = 52780200.

The previous prime is 66066109. The next prime is 66066137. The reversal of 66066125 is 52166066.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2114116 + 63952009 = 1454^2 + 7997^2 .

It is not a de Polignac number, because 66066125 - 2⁴ = 66066109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 66066091 and 66066100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90512 + ... + 91238.

It is an arithmetic number, because the mean of its divisors is an integer number (6880341).

Almost surely, 2^66066125 is an apocalyptic number.

It is an amenable number.

66066125 is a deficient number, since it is larger than the sum of its proper divisors (16497967).

66066125 is an frugal number, since it uses more digits than its factorization.

66066125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 66066125 is about 8128.1070982117. The cubic root of 66066125 is about 404.2589201439.

The spelling of 66066125 in words is "sixty-six million, sixty-six thousand, one hundred twenty-five".