180082009 has 2 divisors, whose sum is σ = 180082010. Its totient is φ = 180082008.

The previous prime is 180081991. The next prime is 180082031. The reversal of 180082009 is 900280081.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134560000 + 45522009 = 11600^2 + 6747^2 .

It is a cyclic number.

It is not a de Polignac number, because 180082009 - 2⁹ = 180081497 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (180082099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90041004 + 90041005.

It is an arithmetic number, because the mean of its divisors is an integer number (90041005).

Almost surely, 2^180082009 is an apocalyptic number.

It is an amenable number.

180082009 is a deficient number, since it is larger than the sum of its proper divisors (1).

180082009 is an equidigital number, since it uses as much as digits as its factorization.

180082009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 180082009 is about 13419.4638119412. The cubic root of 180082009 is about 564.7073525580.

The spelling of 180082009 in words is "one hundred eighty million, eighty-two thousand, nine".