This compound adjective (alpha-privative + kataluo) means "indestructible," "indissoluble," or "endless"—that which cannot be dissolved, broken down, or brought to termination. The author of Hebrews uses it in Hebrews 7:16 describing Christ's priesthood as based on "the power of an indestructible life." The term contrasts Christ's endless, death-conquering life with the mortality of Levitical priests who died and were replaced. Jesus' priesthood doesn't depend on genealogy or Levitical succession but on resurrection life that cannot be dissolved by death. His life is imperishable, His priesthood permanent.