82091008133 has 2 divisors, whose sum is σ = 82091008134. Its totient is φ = 82091008132.

The previous prime is 82091008117. The next prime is 82091008177. The reversal of 82091008133 is 33180019028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80447678689 + 1643329444 = 283633^2 + 40538^2 .

It is a cyclic number.

It is not a de Polignac number, because 82091008133 - 2⁴ = 82091008117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82091008093 and 82091008102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82091008183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41045504066 + 41045504067.

It is an arithmetic number, because the mean of its divisors is an integer number (41045504067).

Almost surely, 2^82091008133 is an apocalyptic number.

It is an amenable number.

82091008133 is a deficient number, since it is larger than the sum of its proper divisors (1).

82091008133 is an equidigital number, since it uses as much as digits as its factorization.

82091008133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 82091008133 in words is "eighty-two billion, ninety-one million, eight thousand, one hundred thirty-three".