82418924066593 has 2 divisors, whose sum is σ = 82418924066594. Its totient is φ = 82418924066592.

The previous prime is 82418924066569. The next prime is 82418924066651. The reversal of 82418924066593 is 39566042981428.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79274235417664 + 3144688648929 = 8903608^2 + 1773327^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82418924066593 is a prime.

It is not a weakly prime, because it can be changed into another prime (82418924066293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41209462033296 + 41209462033297.

It is an arithmetic number, because the mean of its divisors is an integer number (41209462033297).

Almost surely, 2^{82418924066593} is an apocalyptic number.

It is an amenable number.

82418924066593 is a deficient number, since it is larger than the sum of its proper divisors (1).

82418924066593 is an equidigital number, since it uses as much as digits as its factorization.

82418924066593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 179159040, while the sum is 67.

The spelling of 82418924066593 in words is "eighty-two trillion, four hundred eighteen billion, nine hundred twenty-four million, sixty-six thousand, five hundred ninety-three".