66010565025 has 36 divisors (see below), whose sum is σ = 121427738172. Its totient is φ = 34254126720.

The previous prime is 66010565009. The next prime is 66010565039. The reversal of 66010565025 is 52056501066.

It is a happy number.

66010565025 is a `hidden beast` number, since 6 + 60 + 10 + 565 + 0 + 25 = 666.

66010565025 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 6 ways, for example, as 1242351009 + 64768214016 = 35247^2 + 254496^2 .

It is not a de Polignac number, because 66010565025 - 2⁴ = 66010565009 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3956274 + ... + 3972923.

It is an arithmetic number, because the mean of its divisors is an integer number (3372992727).

Almost surely, 2^66010565025 is an apocalyptic number.

It is an amenable number.

66010565025 is a deficient number, since it is larger than the sum of its proper divisors (55417173147).

66010565025 is a wasteful number, since it uses less digits than its factorization.

66010565025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7929250 (or 7929242 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 66010565025 in words is "sixty-six billion, ten million, five hundred sixty-five thousand, twenty-five".