Hey dear, seeing last year's cutoff which went very high that even students getting 500 marks found it hard to get a govt. Mbbs seat. Since your score is above 500 so there are chances for govt. Mbbs seat under state quota, but it will be tough under all india quota. For more information regarding marks and ranks go through this link:

https://medicine.careers360.com/articles/neet-result-marks-vs-rank

You can use college predictor through this link:

https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer