180500093 has 2 divisors, whose sum is σ = 180500094. Its totient is φ = 180500092.

The previous prime is 180500071. The next prime is 180500107. The reversal of 180500093 is 390005081.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100540729 + 79959364 = 10027^2 + 8942^2 .

It is a cyclic number.

It is not a de Polignac number, because 180500093 - 2²⁴ = 163722877 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (180500003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90250046 + 90250047.

It is an arithmetic number, because the mean of its divisors is an integer number (90250047).

Almost surely, 2^180500093 is an apocalyptic number.

It is an amenable number.

180500093 is a deficient number, since it is larger than the sum of its proper divisors (1).

180500093 is an equidigital number, since it uses as much as digits as its factorization.

180500093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 180500093 is about 13435.0323036456. The cubic root of 180500093 is about 565.1440288568.

The spelling of 180500093 in words is "one hundred eighty million, five hundred thousand, ninety-three".