66718125 has 60 divisors (see below), whose sum is σ = 124881900. Its totient is φ = 34272000.

The previous prime is 66718121. The next prime is 66718129. The reversal of 66718125 is 52181766.

It is an interprime number because it is at equal distance from previous prime (66718121) and next prime (66718129).

It can be written as a sum of positive squares in 10 ways, for example, as 35212356 + 31505769 = 5934^2 + 5613^2 .

It is not a de Polignac number, because 66718125 - 2² = 66718121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66718125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66718121) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 162921 + ... + 163329.

It is an arithmetic number, because the mean of its divisors is an integer number (2081365).

Almost surely, 2^66718125 is an apocalyptic number.

It is an amenable number.

66718125 is a deficient number, since it is larger than the sum of its proper divisors (58163775).

66718125 is a wasteful number, since it uses less digits than its factorization.

66718125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 446 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 66718125 is about 8168.1163679272. The cubic root of 66718125 is about 405.5844328666.

The spelling of 66718125 in words is "sixty-six million, seven hundred eighteen thousand, one hundred twenty-five".