81272823106129 has 2 divisors, whose sum is σ = 81272823106130. Its totient is φ = 81272823106128.

The previous prime is 81272823106117. The next prime is 81272823106141. The reversal of 81272823106129 is 92160132827218.

It is a balanced prime because it is at equal distance from previous prime (81272823106117) and next prime (81272823106141).

It can be written as a sum of positive squares in only one way, i.e., 65977410531904 + 15295412574225 = 8122648^2 + 3910935^2 .

It is a cyclic number.

It is not a de Polignac number, because 81272823106129 - 2¹³ = 81272823097937 is a prime.

It is not a weakly prime, because it can be changed into another prime (81272823106829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 40636411553064 + 40636411553065.

It is an arithmetic number, because the mean of its divisors is an integer number (40636411553065).

Almost surely, 2^{81272823106129} is an apocalyptic number.

It is an amenable number.

81272823106129 is a deficient number, since it is larger than the sum of its proper divisors (1).

81272823106129 is an equidigital number, since it uses as much as digits as its factorization.

81272823106129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 81272823106129 in words is "eighty-one trillion, two hundred seventy-two billion, eight hundred twenty-three million, one hundred six thousand, one hundred twenty-nine".