82005548607 has 16 divisors (see below), whose sum is σ = 121559075680. Its totient is φ = 54639147456.

The previous prime is 82005548593. The next prime is 82005548621. The reversal of 82005548607 is 70684550028.

It is an interprime number because it is at equal distance from previous prime (82005548593) and next prime (82005548621).

It is not a de Polignac number, because 82005548607 - 2⁴ = 82005548591 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82005548707) 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, 818968 + ... + 913629.

It is an arithmetic number, because the mean of its divisors is an integer number (7597442230).

Almost surely, 2^82005548607 is an apocalyptic number.

82005548607 is a deficient number, since it is larger than the sum of its proper divisors (39553527073).

82005548607 is a wasteful number, since it uses less digits than its factorization.

82005548607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734359 (or 1734353 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 82005548607 in words is "eighty-two billion, five million, five hundred forty-eight thousand, six hundred seven".