82517648001 has 8 divisors (see below), whose sum is σ = 112707031584. Its totient is φ = 53670014880.

The previous prime is 82517647999. The next prime is 82517648009. The reversal of 82517648001 is 10084671528.

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

It is not a de Polignac number, because 82517648001 - 2¹ = 82517647999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82517648009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 335437471 + ... + 335437716.

It is an arithmetic number, because the mean of its divisors is an integer number (14088378948).

Almost surely, 2^82517648001 is an apocalyptic number.

It is an amenable number.

82517648001 is a deficient number, since it is larger than the sum of its proper divisors (30189383583).

82517648001 is a wasteful number, since it uses less digits than its factorization.

82517648001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670875231.

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 82517648001 in words is "eighty-two billion, five hundred seventeen million, six hundred forty-eight thousand, one".