66351125 has 16 divisors (see below), whose sum is σ = 83144880. Its totient is φ = 52864000.

The previous prime is 66351049. The next prime is 66351127. The reversal of 66351125 is 52115366.

66351125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 16662724 + 49688401 = 4082^2 + 7049^2 .

It is not a de Polignac number, because 66351125 - 2²² = 62156821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66351127) 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 15 ways as a sum of consecutive naturals, for example, 34181 + ... + 36069.

It is an arithmetic number, because the mean of its divisors is an integer number (5196555).

Almost surely, 2^66351125 is an apocalyptic number.

It is an amenable number.

66351125 is a deficient number, since it is larger than the sum of its proper divisors (16793755).

66351125 is a wasteful number, since it uses less digits than its factorization.

66351125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2175 counting only the distinct ones).

The product of its digits is 5400, while the sum is 29.

The square root of 66351125 is about 8145.6199886810. The cubic root of 66351125 is about 404.8393916846.

The spelling of 66351125 in words is "sixty-six million, three hundred fifty-one thousand, one hundred twenty-five".