82582582508369 has 2 divisors, whose sum is σ = 82582582508370. Its totient is φ = 82582582508368.

The previous prime is 82582582508269. The next prime is 82582582508383. The reversal of 82582582508369 is 96380528528528.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47522920453969 + 35059662054400 = 6893687^2 + 5921120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82582582508369 is a prime.

It is a super-2 number, since 2×82582582508369² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82582582508269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41291291254184 + 41291291254185.

It is an arithmetic number, because the mean of its divisors is an integer number (41291291254185).

Almost surely, 2^{82582582508369} is an apocalyptic number.

It is an amenable number.

82582582508369 is a deficient number, since it is larger than the sum of its proper divisors (1).

82582582508369 is an equidigital number, since it uses as much as digits as its factorization.

82582582508369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 663552000, while the sum is 71.

The spelling of 82582582508369 in words is "eighty-two trillion, five hundred eighty-two billion, five hundred eighty-two million, five hundred eight thousand, three hundred sixty-nine".