180530513 has 2 divisors, whose sum is σ = 180530514. Its totient is φ = 180530512.

The previous prime is 180530509. The next prime is 180530521. The reversal of 180530513 is 315035081.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95023504 + 85507009 = 9748^2 + 9247^2 .

It is an emirp because it is prime and its reverse (315035081) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 180530513 - 2² = 180530509 is a prime.

It is a super-2 number, since 2×180530513² = 65182532248086338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (180530573) 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, 90265256 + 90265257.

It is an arithmetic number, because the mean of its divisors is an integer number (90265257).

Almost surely, 2^180530513 is an apocalyptic number.

It is an amenable number.

180530513 is a deficient number, since it is larger than the sum of its proper divisors (1).

180530513 is an equidigital number, since it uses as much as digits as its factorization.

180530513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 180530513 is about 13436.1643708314. The cubic root of 180530513 is about 565.1757753144.

Adding to 180530513 its reverse (315035081), we get a palindrome (495565594).

The spelling of 180530513 in words is "one hundred eighty million, five hundred thirty thousand, five hundred thirteen".