66180135025 has 27 divisors (see below), whose sum is σ = 85824835201. Its totient is φ = 50619551840.

The previous prime is 66180135017. The next prime is 66180135031. The reversal of 66180135025 is 52053108166.

The square root of 66180135025 is 257255.

It is a perfect power (a square), and thus also a powerful number.

66180135025 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 4 ways, for example, as 1984791601 + 64195343424 = 44551^2 + 253368^2 .

It is not a de Polignac number, because 66180135025 - 2³ = 66180135017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29583207 + ... + 29585443.

Almost surely, 2^66180135025 is an apocalyptic number.

66180135025 is the 257255-th square number.

66180135025 is the 128628-th centered octagonal number.

It is an amenable number.

66180135025 is a deficient number, since it is larger than the sum of its proper divisors (19644700176).

66180135025 is an frugal number, since it uses more digits than its factorization.

66180135025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4530 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 66180135025 in words is "sixty-six billion, one hundred eighty million, one hundred thirty-five thousand, twenty-five".