82517712801 has 8 divisors (see below), whose sum is σ = 110038492704. Its totient is φ = 55004370720.

The previous prime is 82517712779. The next prime is 82517712803. The reversal of 82517712801 is 10821771528.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82517712801 - 2²⁵ = 82484158369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82517712803) 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 7 ways as a sum of consecutive naturals, for example, 1833516 + ... + 1877981.

It is an arithmetic number, because the mean of its divisors is an integer number (13754811588).

Almost surely, 2^82517712801 is an apocalyptic number.

It is an amenable number.

82517712801 is a deficient number, since it is larger than the sum of its proper divisors (27520779903).

82517712801 is a wasteful number, since it uses less digits than its factorization.

82517712801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718911.

The product of its (nonzero) digits is 62720, while the sum is 42.

The spelling of 82517712801 in words is "eighty-two billion, five hundred seventeen million, seven hundred twelve thousand, eight hundred one".