66126625 has 16 divisors (see below), whose sum is σ = 82983888. Its totient is φ = 52608000.

The previous prime is 66126611. The next prime is 66126637. The reversal of 66126625 is 52662166.

It can be written as a sum of positive squares in 8 ways, for example, as 37063744 + 29062881 = 6088^2 + 5391^2 .

It is a de Polignac number, because none of the positive numbers 2^k-66126625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22755 + ... + 25495.

It is an arithmetic number, because the mean of its divisors is an integer number (5186493).

Almost surely, 2^66126625 is an apocalyptic number.

It is an amenable number.

66126625 is a deficient number, since it is larger than the sum of its proper divisors (16857263).

66126625 is a wasteful number, since it uses less digits than its factorization.

66126625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2939 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 66126625 is about 8131.8279002940. The cubic root of 66126625 is about 404.3822824205.

The spelling of 66126625 in words is "sixty-six million, one hundred twenty-six thousand, six hundred twenty-five".