8259419817 has 12 divisors (see below), whose sum is σ = 13014843504. Its totient is φ = 5005708920.

The previous prime is 8259419789. The next prime is 8259419821. The reversal of 8259419817 is 7189149528.

It is a happy number.

It is not a de Polignac number, because 8259419817 - 2⁸ = 8259419561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8259419837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41714143 + ... + 41714340.

It is an arithmetic number, because the mean of its divisors is an integer number (1084570292).

Almost surely, 2^8259419817 is an apocalyptic number.

It is an amenable number.

8259419817 is a deficient number, since it is larger than the sum of its proper divisors (4755423687).

8259419817 is a wasteful number, since it uses less digits than its factorization.

8259419817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83428500 (or 83428497 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The square root of 8259419817 is about 90881.3502155420. The cubic root of 8259419817 is about 2021.3887630808.

The spelling of 8259419817 in words is "eight billion, two hundred fifty-nine million, four hundred nineteen thousand, eight hundred seventeen".