82665857402713 has 16 divisors (see below), whose sum is σ = 90053384374800. Its totient is φ = 75428896241664.

The previous prime is 82665857402683. The next prime is 82665857402719. The reversal of 82665857402713 is 31720475856628.

It can be written as a sum of positive squares in 8 ways, for example, as 37387452662784 + 45278404739929 = 6114528^2 + 6728923^2 .

It is a cyclic number.

It is not a de Polignac number, because 82665857402713 - 2²⁵ = 82665823848281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82665857402719) 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, 74885788 + ... + 75981661.

It is an arithmetic number, because the mean of its divisors is an integer number (5628336523425).

Almost surely, 2^{82665857402713} is an apocalyptic number.

It is an amenable number.

82665857402713 is a deficient number, since it is larger than the sum of its proper divisors (7387526972087).

82665857402713 is a wasteful number, since it uses less digits than its factorization.

82665857402713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150867948.

The product of its (nonzero) digits is 135475200, while the sum is 64.

The spelling of 82665857402713 in words is "eighty-two trillion, six hundred sixty-five billion, eight hundred fifty-seven million, four hundred two thousand, seven hundred thirteen".