82582565731229 has 2 divisors, whose sum is σ = 82582565731230. Its totient is φ = 82582565731228.

The previous prime is 82582565731129. The next prime is 82582565731261. The reversal of 82582565731229 is 92213756528528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66331169916025 + 16251395815204 = 8144395^2 + 4031302^2 .

It is a cyclic number.

It is not a de Polignac number, because 82582565731229 - 2²⁴ = 82582548954013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82582565731129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41291282865614 + 41291282865615.

It is an arithmetic number, because the mean of its divisors is an integer number (41291282865615).

Almost surely, 2^{82582565731229} is an apocalyptic number.

It is an amenable number.

82582565731229 is a deficient number, since it is larger than the sum of its proper divisors (1).

82582565731229 is an equidigital number, since it uses as much as digits as its factorization.

82582565731229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 145152000, while the sum is 65.

The spelling of 82582565731229 in words is "eighty-two trillion, five hundred eighty-two billion, five hundred sixty-five million, seven hundred thirty-one thousand, two hundred twenty-nine".