82817027613 has 64 divisors (see below), whose sum is σ = 136777267200. Its totient is φ = 49284132480.

The previous prime is 82817027597. The next prime is 82817027621. The reversal of 82817027613 is 31672071828.

82817027613 is a `hidden beast` number, since 8 + 2 + 8 + 1 + 7 + 0 + 27 + 613 = 666.

It is not a de Polignac number, because 82817027613 - 2⁴ = 82817027597 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82817027633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 738153 + ... + 842913.

It is an arithmetic number, because the mean of its divisors is an integer number (2137144800).

Almost surely, 2^82817027613 is an apocalyptic number.

It is an amenable number.

82817027613 is a deficient number, since it is larger than the sum of its proper divisors (53960239587).

82817027613 is a wasteful number, since it uses less digits than its factorization.

82817027613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104879 (or 104873 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 82817027613 in words is "eighty-two billion, eight hundred seventeen million, twenty-seven thousand, six hundred thirteen".