38388082506209 has 2 divisors, whose sum is σ = 38388082506210. Its totient is φ = 38388082506208.

The previous prime is 38388082506139. The next prime is 38388082506269. The reversal of 38388082506209 is 90260528088383.

38388082506209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37976467875025 + 411614631184 = 6162505^2 + 641572^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-38388082506209 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (38388082506269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19194041253104 + 19194041253105.

It is an arithmetic number, because the mean of its divisors is an integer number (19194041253105).

Almost surely, 2^{38388082506209} is an apocalyptic number.

It is an amenable number.

38388082506209 is a deficient number, since it is larger than the sum of its proper divisors (1).

38388082506209 is an equidigital number, since it uses as much as digits as its factorization.

38388082506209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39813120, while the sum is 62.

The spelling of 38388082506209 in words is "thirty-eight trillion, three hundred eighty-eight billion, eighty-two million, five hundred six thousand, two hundred nine".