Is it permissible to use a program that calculates the times of the Athan (call to prayer) and plays its sound at the designated time, or to alert to the Athan time without the sound of the Athan, and is it permissible to suffice with displaying the prayer times and automatically switching the mobile phone to silent mode during prayer times?

Using the Adhan (definition) as a ringtone for calls is impermissible, as it demeans the sacred words of the Adhan. However, using it as an alert for prayer times is permissible, as it aligns with the reason for its promulgation. Similarly, using it as an alert for an appointment or to wake up for prayer is permissible. As for using it as an alert for an appointment or to wake up for purposes other than prayer, it is more cautious to refrain from doing so.