180013305 has 16 divisors (see below), whose sum is σ = 291493440. Its totient is φ = 94849728.

The previous prime is 180013303. The next prime is 180013313. The reversal of 180013305 is 503310081.

180013305 = 68² + 69² + ... + 814².

It is a happy number.

It is not a de Polignac number, because 180013305 - 2¹ = 180013303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (180013303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71050 + ... + 73539.

It is an arithmetic number, because the mean of its divisors is an integer number (18218340).

Almost surely, 2^180013305 is an apocalyptic number.

180013305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

180013305 is a deficient number, since it is larger than the sum of its proper divisors (111480135).

180013305 is a wasteful number, since it uses less digits than its factorization.

180013305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144680.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 180013305 is about 13416.9037039102. The cubic root of 180013305 is about 564.6355286352.

Adding to 180013305 its reverse (503310081), we get a palindrome (683323386).

The spelling of 180013305 in words is "one hundred eighty million, thirteen thousand, three hundred five".