2806305091209 has 9 divisors (see below), whose sum is σ = 4053559057639. Its totient is φ = 1870866710400.

The previous prime is 2806305091157. The next prime is 2806305091211. The reversal of 2806305091209 is 9021905036082.

The square root of 2806305091209 is 1675203.

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

2806305091209 is a `hidden beast` number, since 2 + 8 + 0 + 630 + 5 + 0 + 9 + 1 + 2 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2160467841609 + 645837249600 = 1469853^2 + 803640^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2806305091209 - 2¹⁵ = 2806305058441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2806305091229) 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, 4746409 + ... + 5304809.

Almost surely, 2^{2806305091209} is an apocalyptic number.

2806305091209 is the 1675203-rd square number.

2806305091209 is the 837602-nd centered octagonal number.

It is an amenable number.

2806305091209 is a deficient number, since it is larger than the sum of its proper divisors (1247253966430).

2806305091209 is an frugal number, since it uses more digits than its factorization.

2806305091209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116808 (or 558404 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 2806305091209 in words is "two trillion, eight hundred six billion, three hundred five million, ninety-one thousand, two hundred nine".