1728000013 has 2 divisors, whose sum is σ = 1728000014. Its totient is φ = 1728000012.

The previous prime is 1727999993. The next prime is 1728000019. The reversal of 1728000013 is 3100008271.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1618211529 + 109788484 = 40227^2 + 10478^2 .

It is an emirp because it is prime and its reverse (3100008271) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1728000013 - 2¹⁷ = 1727868941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1728000019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 864000006 + 864000007.

It is an arithmetic number, because the mean of its divisors is an integer number (864000007).

Almost surely, 2^1728000013 is an apocalyptic number.

It is an amenable number.

1728000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1728000013 is an equidigital number, since it uses as much as digits as its factorization.

1728000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 1728000013 is about 41569.2195380188. The cubic root of 1728000013 is about 1200.0000030093. Note that the first 5 decimals are identical.

Adding to 1728000013 its reverse (3100008271), we get a palindrome (4828008284).

The spelling of 1728000013 in words is "one billion, seven hundred twenty-eight million, thirteen", and thus it is an aban number.