Vehicle, notification system, notification method, and non-transitory computer-readable storage medium stored with a notification program

A notification system, comprising:

• a terminal configured to act as a digital key employed in control of a vehicle;
• and
• a vehicle, wherein the vehicle includes:
• a first memory;
• and
• a first processor coupled to the first memory, the first processor being configured to:
• acquire information relating to a remaining charge of a battery of the terminal;
• and
• perform a predetermined notification in response to both of a determination being made that the remaining charge of the battery of the terminal is a predetermined threshold or lower based on the acquired information, and at least one of a vehicle speed or a shift position of the vehicle being in a preset vehicle state,
• wherein the terminal includes:
• a second memory;
• and
• a second processor coupled to the second memory, the second processor being configured to:
• transmit information relating to the remaining charge of the battery to the vehicle in response to a determination being made that the remaining charge of the battery has fallen to a first threshold or lower, and also transmit the battery remaining charge-related information to the vehicle in response to a determination being made that the remaining charge of the battery that had once been the first threshold or lower and then recovered to a second threshold higher than the first threshold has again fallen to the first threshold or lower, but
• not transmit the battery remaining charge-related information to the vehicle in response to a determination being made that the remaining charge of the battery that had once been the first threshold or lower has again fallen to the first threshold or lower without first recovering to the second threshold.