82106512289 has 2 divisors, whose sum is σ = 82106512290. Its totient is φ = 82106512288.

The previous prime is 82106512283. The next prime is 82106512343. The reversal of 82106512289 is 98221560128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76892517025 + 5213995264 = 277295^2 + 72208^2 .

It is a cyclic number.

It is not a de Polignac number, because 82106512289 - 2⁴ = 82106512273 is a prime.

It is not a weakly prime, because it can be changed into another prime (82106512283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41053256144 + 41053256145.

It is an arithmetic number, because the mean of its divisors is an integer number (41053256145).

Almost surely, 2^82106512289 is an apocalyptic number.

It is an amenable number.

82106512289 is a deficient number, since it is larger than the sum of its proper divisors (1).

82106512289 is an equidigital number, since it uses as much as digits as its factorization.

82106512289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 138240, while the sum is 44.

The spelling of 82106512289 in words is "eighty-two billion, one hundred six million, five hundred twelve thousand, two hundred eighty-nine".