19993013 has 2 divisors, whose sum is σ = 19993014. Its totient is φ = 19993012.

The previous prime is 19993007. The next prime is 19993087. The reversal of 19993013 is 31039991.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19864849 + 128164 = 4457^2 + 358^2 .

It is an emirp because it is prime and its reverse (31039991) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 19993013 - 2⁶ = 19992949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (19996013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9996506 + 9996507.

It is an arithmetic number, because the mean of its divisors is an integer number (9996507).

Almost surely, 2^19993013 is an apocalyptic number.

It is an amenable number.

19993013 is a deficient number, since it is larger than the sum of its proper divisors (1).

19993013 is an equidigital number, since it uses as much as digits as its factorization.

19993013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6561, while the sum is 35.

The square root of 19993013 is about 4471.3547164143. The cubic root of 19993013 is about 271.4101485847.

The spelling of 19993013 in words is "nineteen million, nine hundred ninety-three thousand, thirteen".