82633705729 has 2 divisors, whose sum is σ = 82633705730. Its totient is φ = 82633705728.

The previous prime is 82633705709. The next prime is 82633705769. The reversal of 82633705729 is 92750733628.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60841155600 + 21792550129 = 246660^2 + 147623^2 .

It is a cyclic number.

It is not a de Polignac number, because 82633705729 - 2¹³ = 82633697537 is a prime.

It is not a weakly prime, because it can be changed into another prime (82633705709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41316852864 + 41316852865.

It is an arithmetic number, because the mean of its divisors is an integer number (41316852865).

Almost surely, 2^82633705729 is an apocalyptic number.

It is an amenable number.

82633705729 is a deficient number, since it is larger than the sum of its proper divisors (1).

82633705729 is an equidigital number, since it uses as much as digits as its factorization.

82633705729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 82633705729 in words is "eighty-two billion, six hundred thirty-three million, seven hundred five thousand, seven hundred twenty-nine".