82583416809 has 16 divisors (see below), whose sum is σ = 122350323840. Its totient is φ = 55053576720.

The previous prime is 82583416787. The next prime is 82583416873. The reversal of 82583416809 is 90861438528.

It is not a de Polignac number, because 82583416809 - 2²³ = 82575028201 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82583416109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1177879 + ... + 1246019.

It is an arithmetic number, because the mean of its divisors is an integer number (7646895240).

Almost surely, 2^82583416809 is an apocalyptic number.

It is an amenable number.

82583416809 is a deficient number, since it is larger than the sum of its proper divisors (39766907031).

82583416809 is a wasteful number, since it uses less digits than its factorization.

82583416809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113037 (or 113031 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 82583416809 in words is "eighty-two billion, five hundred eighty-three million, four hundred sixteen thousand, eight hundred nine".