Who is the real believer in quran?
We have a lot of versese describe real believer like:
1- whose hearts become full of fear when hear verses of god
..إِنَّمَا الْمُؤْمِنُونَ الَّذِينَ إِذَا ذُكِرَ اللّهُ وَجِلَتْ قُلُوبُهُمْ وَإِذَا تُلِيَتْ عَلَيْهِمْ آيَاتُهُ زَادَتْهُمْ إِيمَانًا وَعَلَى رَبِّهِمْ يَتَوَكَّلُونَ chapter anfal- verse 2
..those only are believers whose hearts become full of fear when allah is mentioned, and when his communications are recited to them they increase them in faith, and in their lord do they trust.

2- those who believers to god and his prophet by wealth and body
إِنَّمَا الْمُؤْمِنُونَ الَّذِينَ آمَنُوا بِاللَّهِ وَرَسُولِهِ ثُمَّ لَمْ يَرْتَابُوا وَجَاهَدُوا بِأَمْوَالِهِمْ وَأَنفُسِهِمْ فِي سَبِيلِ اللَّهِ أُوْلَئِكَ هُمُ الصَّادِقُونَ
the believers are only those who believe in allah and his messenger then they doubt not and struggle hard with their wealth and their lives in the way of allah; they are the truthful ones