66125608201 has 9 divisors (see below), whose sum is σ = 66647307349. Its totient is φ = 65607967264.

The previous prime is 66125608147. The next prime is 66125608217. The reversal of 66125608201 is 10280652166.

The square root of 66125608201 is 257149.

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

66125608201 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 3014119801 + 63111488400 = 54901^2 + 251220^2 .

It is not a de Polignac number, because 66125608201 - 2²³ = 66117219593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66125608231) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35228475 + ... + 35230351.

Almost surely, 2^66125608201 is an apocalyptic number.

66125608201 is the 257149-th square number.

66125608201 is the 128575-th centered octagonal number.

It is an amenable number.

66125608201 is a deficient number, since it is larger than the sum of its proper divisors (521699148).

66125608201 is an frugal number, since it uses more digits than its factorization.

66125608201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 66125608201 in words is "sixty-six billion, one hundred twenty-five million, six hundred eight thousand, two hundred one".