Query Android contact to get ACCOUNT_TYPE and ACCOUNT_NAME

I am able to obtain a list of contacts and their basic information like: name. phones, emails, ims, notes, organizations for backup purposes by using ContactsContract.Contacts.CONTENT_URI for a list of Contacts and other specific URIs for different information type.

I need, in order to fully restore all the information two more fields:

ContactsContract.RawContacts.ACCOUNT_TYPE

ContactsContract.RawContacts.ACCOUNT_NAME

Can anyone guide me how to obtain this info, knowing the Contact Id from ContactsContract.Contacts.CONTENT_URI ?

Thank you

public ContactAccount getContactAccount(Long id,ContentResolver contentResolver) {

        ContactAccount account = null;

        Cursor cursor = null;
        try {

             cursor = contentResolver.query(ContactsContract.RawContacts.CONTENT_URI,
                     new String[]{ContactsContract.RawContacts.ACCOUNT_NAME, ContactsContract.RawContacts.ACCOUNT_TYPE},
                     ContactsContract.RawContacts.CONTACT_ID +"=?",
                     new String[]{String.valueOf(id)},
                     null);

            if (cursor != null && cursor.getCount() >0)
            {
                cursor.moveToFirst();
                account = new ContactAccount();
                account.setAccountName(cursor.getString(cursor.getColumnIndex(ContactsContract.RawContacts.ACCOUNT_NAME)));
                account.setAccountType(cursor.getString(cursor.getColumnIndex(ContactsContract.RawContacts.ACCOUNT_TYPE)));
                cursor.close();
            }
        } catch (Exception e) {
            Utils.log(this.getClass().getName(), e.getMessage()); 
        } finally{
          cursor.close();
        }

        return(account);
    }