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13385219 is a prime number
BaseRepresentation
bin110011000011…
…111000000011
3221012001001212
4303003320003
511411311334
61154520335
7221525651
oct63037003
927161055
1013385219
117612571
1245960ab
132a08663
141ac5dd1
151295ece
hexcc3e03

13385219 has 2 divisors, whose sum is σ = 13385220. Its totient is φ = 13385218.

The previous prime is 13385213. The next prime is 13385221. The reversal of 13385219 is 91258331.

13385219 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13385219 is a prime.

It is a super-2 number, since 2×133852192 = 358328175355922, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 13385221, it forms a pair of twin primes.

It is a Chen prime.

It is a zygodrome in base 2.

It is not a weakly prime, because it can be changed into another prime (13385213) 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, 6692609 + 6692610.

It is an arithmetic number, because the mean of its divisors is an integer number (6692610).

Almost surely, 213385219 is an apocalyptic number.

13385219 is a deficient number, since it is larger than the sum of its proper divisors (1).

13385219 is an equidigital number, since it uses as much as digits as its factorization.

13385219 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 32.

The square root of 13385219 is about 3658.5815557399. The cubic root of 13385219 is about 237.4334084773.

The spelling of 13385219 in words is "thirteen million, three hundred eighty-five thousand, two hundred nineteen".