82733581103633 has 2 divisors, whose sum is σ = 82733581103634. Its totient is φ = 82733581103632.

The previous prime is 82733581103533. The next prime is 82733581103659. The reversal of 82733581103633 is 33630118533728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63034834544704 + 19698746558929 = 7939448^2 + 4438327^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82733581103633 is a prime.

It is not a weakly prime, because it can be changed into another prime (82733581103533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41366790551816 + 41366790551817.

It is an arithmetic number, because the mean of its divisors is an integer number (41366790551817).

Almost surely, 2^{82733581103633} is an apocalyptic number.

It is an amenable number.

82733581103633 is a deficient number, since it is larger than the sum of its proper divisors (1).

82733581103633 is an equidigital number, since it uses as much as digits as its factorization.

82733581103633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 53.

The spelling of 82733581103633 in words is "eighty-two trillion, seven hundred thirty-three billion, five hundred eighty-one million, one hundred three thousand, six hundred thirty-three".