If you have the Smart Start/Smart Entry system then the Prius will keep running until it's powered down. Once stopped you won't be able to restart it until the fob is inside the car. If you get out of the Prius with the fob it will beep three times and the orange-yellow key light will show.
If you think about it, you'll see why allowing the Prius to continue to run is necessary. If loss of signal shut the car off, then it would stop the car if the fob battery was weak or the signal was blocked. This wouldn't be much fun if it happened on the freeway.
If you don't have SS/SE then the fob is mechanically locked into the slot until the power is off, so you can't take it out.
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