82633705073 has 2 divisors, whose sum is σ = 82633705074. Its totient is φ = 82633705072.

The previous prime is 82633704991. The next prime is 82633705079. The reversal of 82633705073 is 37050733628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79415185249 + 3218519824 = 281807^2 + 56732^2 .

It is a cyclic number.

It is not a de Polignac number, because 82633705073 - 2²⁰ = 82632656497 is a prime.

It is not a weakly prime, because it can be changed into another prime (82633705079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41316852536 + 41316852537.

It is an arithmetic number, because the mean of its divisors is an integer number (41316852537).

Almost surely, 2^82633705073 is an apocalyptic number.

It is an amenable number.

82633705073 is a deficient number, since it is larger than the sum of its proper divisors (1).

82633705073 is an equidigital number, since it uses as much as digits as its factorization.

82633705073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 635040, while the sum is 44.

The spelling of 82633705073 in words is "eighty-two billion, six hundred thirty-three million, seven hundred five thousand, seventy-three".