82671307625217 has 16 divisors (see below), whose sum is σ = 120477351532032. Its totient is φ = 50198896469760.

The previous prime is 82671307625167. The next prime is 82671307625219. The reversal of 82671307625217 is 71252670317628.

It is a happy number.

It is not a de Polignac number, because 82671307625217 - 2⁷ = 82671307625089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82671307625219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26145256998 + ... + 26145260159.

It is an arithmetic number, because the mean of its divisors is an integer number (7529834470752).

Almost surely, 2^{82671307625217} is an apocalyptic number.

It is an amenable number.

82671307625217 is a deficient number, since it is larger than the sum of its proper divisors (37806043906815).

82671307625217 is a wasteful number, since it uses less digits than its factorization.

82671307625217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52290517208.

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 82671307625217 in words is "eighty-two trillion, six hundred seventy-one billion, three hundred seven million, six hundred twenty-five thousand, two hundred seventeen".