180513011 has 16 divisors (see below), whose sum is σ = 215424000. Its totient is φ = 151114824.

The previous prime is 180513007. The next prime is 180513017. The reversal of 180513011 is 110315081.

180513011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 180513011 - 2² = 180513007 is a prime.

It is a super-2 number, since 2×180513011² = 65169894280572242, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180513017) 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, 8630 + ... + 20868.

It is an arithmetic number, because the mean of its divisors is an integer number (13464000).

Almost surely, 2^180513011 is an apocalyptic number.

180513011 is a deficient number, since it is larger than the sum of its proper divisors (34910989).

180513011 is an equidigital number, since it uses as much as digits as its factorization.

180513011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12303 (or 12289 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 20.

The square root of 180513011 is about 13435.5130530992. The cubic root of 180513011 is about 565.1575105791.

Adding to 180513011 its reverse (110315081), we get a palindrome (290828092).

The spelling of 180513011 in words is "one hundred eighty million, five hundred thirteen thousand, eleven".