66540125 has 32 divisors (see below), whose sum is σ = 88923744. Its totient is φ = 49536000.

The previous prime is 66540119. The next prime is 66540137. The reversal of 66540125 is 52104566.

It can be written as a sum of positive squares in 16 ways, for example, as 44063044 + 22477081 = 6638^2 + 4741^2 .

It is not a de Polignac number, because 66540125 - 2¹⁰ = 66539101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367535 + ... + 367715.

It is an arithmetic number, because the mean of its divisors is an integer number (2778867).

Almost surely, 2^66540125 is an apocalyptic number.

It is an amenable number.

66540125 is a deficient number, since it is larger than the sum of its proper divisors (22383619).

66540125 is a wasteful number, since it uses less digits than its factorization.

66540125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 66540125 is about 8157.2130657474. The cubic root of 66540125 is about 405.2234198859.

The spelling of 66540125 in words is "sixty-six million, five hundred forty thousand, one hundred twenty-five".