180513 has 12 divisors (see below), whose sum is σ = 269568. Its totient is φ = 116280.

The previous prime is 180511. The next prime is 180533. The reversal of 180513 is 315081.

It is a happy number.

It is not a de Polignac number, because 180513 - 2¹ = 180511 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 180513.

It is not an unprimeable number, because it can be changed into a prime (180511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (22464).

2¹⁸⁰⁵¹³ is an apocalyptic number.

It is an amenable number.

180513 is a deficient number, since it is larger than the sum of its proper divisors (89055).

180513 is a wasteful number, since it uses less digits than its factorization.

180513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 180513 is about 424.8682148620. The cubic root of 180513 is about 56.5157499099.

Adding to 180513 its reverse (315081), we get a palindrome (495594).

The spelling of 180513 in words is "one hundred eighty thousand, five hundred thirteen".