82352184205729 has 2 divisors, whose sum is σ = 82352184205730. Its totient is φ = 82352184205728.

The previous prime is 82352184205721. The next prime is 82352184205787. The reversal of 82352184205729 is 92750248125328.

It is an a-pointer prime, because the next prime (82352184205787) can be obtained adding 82352184205729 to its sum of digits (58).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53776188900625 + 28575995305104 = 7333225^2 + 5345652^2 .

It is a cyclic number.

It is not a de Polignac number, because 82352184205729 - 2³ = 82352184205721 is a prime.

It is not a weakly prime, because it can be changed into another prime (82352184205721) 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, 41176092102864 + 41176092102865.

It is an arithmetic number, because the mean of its divisors is an integer number (41176092102865).

Almost surely, 2^{82352184205729} is an apocalyptic number.

It is an amenable number.

82352184205729 is a deficient number, since it is larger than the sum of its proper divisors (1).

82352184205729 is an equidigital number, since it uses as much as digits as its factorization.

82352184205729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 82352184205729 in words is "eighty-two trillion, three hundred fifty-two billion, one hundred eighty-four million, two hundred five thousand, seven hundred twenty-nine".