66153383209 has 9 divisors (see below), whose sum is σ = 69823548567. Its totient is φ = 62666996544.

The previous prime is 66153383203. The next prime is 66153383213. The reversal of 66153383209 is 90238335166.

The square root of 66153383209 is 257203.

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

It can be written as a sum of positive squares in only one way, i.e., 64579515625 + 1573867584 = 254125^2 + 39672^2 .

It is not a de Polignac number, because 66153383209 - 2¹⁵ = 66153350441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66153383203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4880089 + ... + 4893625.

It is an arithmetic number, because the mean of its divisors is an integer number (7758172063).

Almost surely, 2^66153383209 is an apocalyptic number.

66153383209 is the 257203-rd square number.

66153383209 is the 128602-nd centered octagonal number.

It is an amenable number.

66153383209 is a deficient number, since it is larger than the sum of its proper divisors (3670165358).

66153383209 is an frugal number, since it uses more digits than its factorization.

66153383209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27112 (or 13556 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The spelling of 66153383209 in words is "sixty-six billion, one hundred fifty-three million, three hundred eighty-three thousand, two hundred nine".