82505205725069 has 2 divisors, whose sum is σ = 82505205725070. Its totient is φ = 82505205725068.

The previous prime is 82505205724999. The next prime is 82505205725083. The reversal of 82505205725069 is 96052750250528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77642356020100 + 4862849704969 = 8811490^2 + 2205187^2 .

It is a cyclic number.

It is not a de Polignac number, because 82505205725069 - 2²⁸ = 82504937289613 is a prime.

It is a super-2 number, since 2×82505205725069² (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 (82505205724069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41252602862534 + 41252602862535.

It is an arithmetic number, because the mean of its divisors is an integer number (41252602862535).

Almost surely, 2^{82505205725069} is an apocalyptic number.

It is an amenable number.

82505205725069 is a deficient number, since it is larger than the sum of its proper divisors (1).

82505205725069 is an equidigital number, since it uses as much as digits as its factorization.

82505205725069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120000, while the sum is 56.

The spelling of 82505205725069 in words is "eighty-two trillion, five hundred five billion, two hundred five million, seven hundred twenty-five thousand, sixty-nine".