(CNN) — Lottery players will have more chances this week to win massive payouts as the Powerball and Mega Millions jackpots rose to close to $865 million and $1.1 billion, respectively, after there were no winners in the most recent drawings for the two games.

If the Powerball prize is won, it would be the fifth-largest in the game’s history. A winner could opt for an estimated $865 million in annual payments or a lump sum payment of $416.1 million – both before taxes, according to Powerball.

The Powerball jackpot was last won on January 1 by a ticket in Michigan with an estimated $842.4 million prize. Although no one scored the jackpot on Monday, the drawing still yielded big winners, with players in Florida and New York each winning $1 million prizes.

There have been 36 consecutive Powerball drawings with no grand prize winner. The odds of winning any prize are 1 in 24.9, and the odds of snagging the jackpot are 1 in 292.2 million, according to the lottery.

The next big opportunity for lottery players will be Tuesday’s Mega Millions drawing, when $1.1 billion will be up for grabs. The lottery crossed the billion-dollar mark after there were no grand prize winners in Friday’s drawing.

If the jackpot is won Tuesday, it would be the fifth-largest prize in the history of the game, according to Mega Millions. Tuesday’s drawing is set for 11 p.m. ET.

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