2805217409 has 2 divisors, whose sum is σ = 2805217410. Its totient is φ = 2805217408.

The previous prime is 2805217397. The next prime is 2805217411. The reversal of 2805217409 is 9047125082.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1894686784 + 910530625 = 43528^2 + 30175^2 .

It is a cyclic number.

It is not a de Polignac number, because 2805217409 - 2⁸ = 2805217153 is a prime.

Together with 2805217411, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2805217469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1402608704 + 1402608705.

It is an arithmetic number, because the mean of its divisors is an integer number (1402608705).

Almost surely, 2^2805217409 is an apocalyptic number.

It is an amenable number.

2805217409 is a deficient number, since it is larger than the sum of its proper divisors (1).

2805217409 is an equidigital number, since it uses as much as digits as its factorization.

2805217409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 2805217409 is about 52964.3031578817. The cubic root of 2805217409 is about 1410.3346470249.

The spelling of 2805217409 in words is "two billion, eight hundred five million, two hundred seventeen thousand, four hundred nine".