The Constitution contains the regulations about the President. Articles 9 to 14 deal with the question. Quite longish, I might just copypaste the whole thing here, or give a condensed version. I haven't decided yet.
Here is the whole constitution (so I can find it):
https://www.constituteproject.org/constitution/Hungary_2016?lang=en
After the regime change we had the Stalinist constitution with some corrections, chiefly done by the MDF-SZDSZ pact. After the pact the representatives in the Parliament spoke about creating a new one, but that didn't happen. Then the Fidesz made it's own constitution in 2011. We call it Fundamental Law. I'm really curious how the provisions about the President differ in the two. Btw, officially the President is called the 1'President of the Republic''.

>>38623
Er ist nicht mein Kaiser!