66137625 has 24 divisors (see below), whose sum is σ = 119226120. Its totient is φ = 35272800.

The previous prime is 66137597. The next prime is 66137629. The reversal of 66137625 is 52673166.

It can be written as a sum of positive squares in 4 ways, for example, as 915849 + 65221776 = 957^2 + 8076^2 .

It is not a de Polignac number, because 66137625 - 2⁵ = 66137593 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 66137625.

It is not an unprimeable number, because it can be changed into a prime (66137629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28270 + ... + 30519.

It is an arithmetic number, because the mean of its divisors is an integer number (4967755).

Almost surely, 2^66137625 is an apocalyptic number.

It is an amenable number.

66137625 is a deficient number, since it is larger than the sum of its proper divisors (53088495).

66137625 is a wasteful number, since it uses less digits than its factorization.

66137625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58810 (or 58797 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 66137625 is about 8132.5042268664. The cubic root of 66137625 is about 404.4047038404.

The spelling of 66137625 in words is "sixty-six million, one hundred thirty-seven thousand, six hundred twenty-five".