This is the 4249th most frequent Russian word.
эрдогана
"Эрдогана" is the genitive or accusative form of "Эрдоган," the Russian transliteration of "Erdoğan," referring to Recep Tayyip Erdoğan, the President of Turkey.
Here, 'эрдоганом' is the instrumental case of the proper noun 'Эрдоган', referring to Recep Tayyip Erdogan, used to indicate with whom the action of discussion occurred.
Премьер-министр обсудил ситуацию с эрдоганом.
The Prime Minister discussed the situation with Erdogan.
In this sentence, 'эрдогана' is in the genitive case, showing possession or relation, meaning 'about Erdogan' in the context of the article being about him.
Вы бы прочитали статью про эрдогана?
Would you read the article about Erdogan?
Again, 'эрдоганом' is in the instrumental case, denoting association or accompaniment, indicating Erdogan's involvement in the meeting during which the photo was taken.