2813563409 has 2 divisors, whose sum is σ = 2813563410. Its totient is φ = 2813563408.

The previous prime is 2813563367. The next prime is 2813563411. The reversal of 2813563409 is 9043653182.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2180890000 + 632673409 = 46700^2 + 25153^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2813563409 is a prime.

It is a super-2 number, since 2×2813563409² = 15832278112927402562, which contains 22 as substring.

Together with 2813563411, 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 (2813563429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1406781704 + 1406781705.

It is an arithmetic number, because the mean of its divisors is an integer number (1406781705).

Almost surely, 2^2813563409 is an apocalyptic number.

It is an amenable number.

2813563409 is a deficient number, since it is larger than the sum of its proper divisors (1).

2813563409 is an equidigital number, since it uses as much as digits as its factorization.

2813563409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 2813563409 is about 53043.0335576690. The cubic root of 2813563409 is about 1411.7319242258.

The spelling of 2813563409 in words is "two billion, eight hundred thirteen million, five hundred sixty-three thousand, four hundred nine".