82505205724069 has 2 divisors, whose sum is σ = 82505205724070. Its totient is φ = 82505205724068.

The previous prime is 82505205724033. The next prime is 82505205724093. The reversal of 82505205724069 is 96042750250528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81892328115844 + 612877608225 = 9049438^2 + 782865^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82505205724069 is a prime.

It is a super-2 number, since 2×82505205724069² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82505205724009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41252602862034 + 41252602862035.

It is an arithmetic number, because the mean of its divisors is an integer number (41252602862035).

Almost surely, 2^{82505205724069} is an apocalyptic number.

It is an amenable number.

82505205724069 is a deficient number, since it is larger than the sum of its proper divisors (1).

82505205724069 is an equidigital number, since it uses as much as digits as its factorization.

82505205724069 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12096000, while the sum is 55.

The spelling of 82505205724069 in words is "eighty-two trillion, five hundred five billion, two hundred five million, seven hundred twenty-four thousand, sixty-nine".