Given those numbers, by my calculations, if we see the explosion tomorrow. We have 5782.5 years until any debris hits our solar system.
True for the debris, but we won't have to wait for the gamma rays.
Something like that. It is estimated that today’s quasar Geminga was created about 300,000 years ago because it is at the center of “the bubble”, a cloud of interstellar dust particles. Our solar system is inside the bubble, which means that the debris wave from Geminga has already passed us.
https://en.wikipedia.org/wiki/Geminga
Debris on Mars: https://www.nasa.gov/mission_pages/msl/multimedia/pia16204.html