809006516413 has 2 divisors, whose sum is σ = 809006516414. Its totient is φ = 809006516412.

The previous prime is 809006516363. The next prime is 809006516459. The reversal of 809006516413 is 314615600908.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 559664083449 + 249342432964 = 748107^2 + 499342^2 .

It is a cyclic number.

It is not a de Polignac number, because 809006516413 - 2²¹ = 809004419261 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 809006516413.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (809006516473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 404503258206 + 404503258207.

It is an arithmetic number, because the mean of its divisors is an integer number (404503258207).

Almost surely, 2^809006516413 is an apocalyptic number.

It is an amenable number.

809006516413 is a deficient number, since it is larger than the sum of its proper divisors (1).

809006516413 is an equidigital number, since it uses as much as digits as its factorization.

809006516413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 809006516413 in words is "eight hundred nine billion, six million, five hundred sixteen thousand, four hundred thirteen".