82582565731129 has 2 divisors, whose sum is σ = 82582565731130. Its totient is φ = 82582565731128.

The previous prime is 82582565731117. The next prime is 82582565731229. The reversal of 82582565731129 is 92113756528528.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 43947353318400 + 38635212412729 = 6629280^2 + 6215723^2 .

It is a cyclic number.

It is not a de Polignac number, because 82582565731129 - 2²⁹ = 82582028860217 is a prime.

It is a super-2 number, since 2×82582565731129² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82582565731229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41291282865564 + 41291282865565.

It is an arithmetic number, because the mean of its divisors is an integer number (41291282865565).

Almost surely, 2^{82582565731129} is an apocalyptic number.

It is an amenable number.

82582565731129 is a deficient number, since it is larger than the sum of its proper divisors (1).

82582565731129 is an equidigital number, since it uses as much as digits as its factorization.

82582565731129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 72576000, while the sum is 64.

The spelling of 82582565731129 in words is "eighty-two trillion, five hundred eighty-two billion, five hundred sixty-five million, seven hundred thirty-one thousand, one hundred twenty-nine".