2080509105609 has 81 divisors (see below), whose sum is σ = 3342131364117. Its totient is φ = 1246231008000.

The previous prime is 2080509105583. The next prime is 2080509105691. The reversal of 2080509105609 is 9065019050802.

The square root of 2080509105609 is 1442397.

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

2080509105609 is a `hidden beast` number, since 2 + 0 + 80 + 5 + 0 + 9 + 1 + 0 + 560 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1252154286009 + 828354819600 = 1118997^2 + 910140^2 .

It is not a de Polignac number, because 2080509105609 - 2⁹ = 2080509105097 is a prime.

It is a super-2 number, since 2×2080509105609² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2080509103609) 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 80 ways as a sum of consecutive naturals, for example, 5188301809 + ... + 5188302209.

Almost surely, 2^{2080509105609} is an apocalyptic number.

2080509105609 is the 1442397-th square number.

2080509105609 is the 721199-th centered octagonal number.

It is an amenable number.

2080509105609 is a deficient number, since it is larger than the sum of its proper divisors (1261622258508).

2080509105609 is an equidigital number, since it uses as much as digits as its factorization.

2080509105609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 2080509105609 in words is "two trillion, eighty billion, five hundred nine million, one hundred five thousand, six hundred nine".