3006052037209 has 27 divisors (see below), whose sum is σ = 3276520946967. Its totient is φ = 2756654007744.

The previous prime is 3006052037159. The next prime is 3006052037221. The reversal of 3006052037209 is 9027302506003.

The square root of 3006052037209 is 1733797.

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

It can be written as a sum of positive squares in 13 ways, for example, as 91424593225 + 2914627443984 = 302365^2 + 1707228^2 .

It is not a de Polignac number, because 3006052037209 - 2¹⁹ = 3006051512921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3006052017209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4440253779 + ... + 4440254455.

Almost surely, 2^{3006052037209} is an apocalyptic number.

3006052037209 is the 1733797-th square number.

3006052037209 is the 866899-th centered octagonal number.

It is an amenable number.

3006052037209 is a deficient number, since it is larger than the sum of its proper divisors (270468909758).

3006052037209 is an frugal number, since it uses more digits than its factorization.

3006052037209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The spelling of 3006052037209 in words is "three trillion, six billion, fifty-two million, thirty-seven thousand, two hundred nine".