180506309 has 2 divisors, whose sum is σ = 180506310. Its totient is φ = 180506308.

The previous prime is 180506279. The next prime is 180506351. The reversal of 180506309 is 903605081.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 150749284 + 29757025 = 12278^2 + 5455^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-180506309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (180508309) 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, 90253154 + 90253155.

It is an arithmetic number, because the mean of its divisors is an integer number (90253155).

Almost surely, 2^180506309 is an apocalyptic number.

It is an amenable number.

180506309 is a deficient number, since it is larger than the sum of its proper divisors (1).

180506309 is an equidigital number, since it uses as much as digits as its factorization.

180506309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 180506309 is about 13435.2636371602. The cubic root of 180506309 is about 565.1505161941.

The spelling of 180506309 in words is "one hundred eighty million, five hundred six thousand, three hundred nine".