8249509817 has 2 divisors, whose sum is σ = 8249509818. Its totient is φ = 8249509816.

The previous prime is 8249509787. The next prime is 8249509819. The reversal of 8249509817 is 7189059428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4599416761 + 3650093056 = 67819^2 + 60416^2 .

It is a cyclic number.

It is not a de Polignac number, because 8249509817 - 2⁶ = 8249509753 is a prime.

Together with 8249509819, 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 (8249509819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4124754908 + 4124754909.

It is an arithmetic number, because the mean of its divisors is an integer number (4124754909).

Almost surely, 2^8249509817 is an apocalyptic number.

It is an amenable number.

8249509817 is a deficient number, since it is larger than the sum of its proper divisors (1).

8249509817 is an equidigital number, since it uses as much as digits as its factorization.

8249509817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 53.

The square root of 8249509817 is about 90826.8122142355. The cubic root of 8249509817 is about 2020.5799903840.

The spelling of 8249509817 in words is "eight billion, two hundred forty-nine million, five hundred nine thousand, eight hundred seventeen".