180742013 has 2 divisors, whose sum is σ = 180742014. Its totient is φ = 180742012.

The previous prime is 180741989. The next prime is 180742019. The reversal of 180742013 is 310247081.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154803364 + 25938649 = 12442^2 + 5093^2 .

It is a cyclic number.

It is not a de Polignac number, because 180742013 - 2¹² = 180737917 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (180742019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90371006 + 90371007.

It is an arithmetic number, because the mean of its divisors is an integer number (90371007).

Almost surely, 2^180742013 is an apocalyptic number.

It is an amenable number.

180742013 is a deficient number, since it is larger than the sum of its proper divisors (1).

180742013 is an equidigital number, since it uses as much as digits as its factorization.

180742013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 180742013 is about 13444.0326167412. The cubic root of 180742013 is about 565.3963991943.

Adding to 180742013 its reverse (310247081), we get a palindrome (490989094).

The spelling of 180742013 in words is "one hundred eighty million, seven hundred forty-two thousand, thirteen".