BitMEX, not Bitmine, is a popular cryptocurrency derivatives exchange. However, I couldn't find any information confirming that BitMEX or Bitmine has bought 52,475 Ethereum worth $220 million.

That being said, Ethereum has been performing well lately, with its price currently at around $4,144.15, down 1.88% in the last 24 hours ¹. The market cap is approximately $499.61 billion, with a circulating supply of 120,707,692 ETH coins ¹.

As for the prediction of Ethereum reaching $10,000 in 2025, it's difficult to say with certainty. However, Ethereum's transition to proof-of-stake, its growing adoption in the DeFi space, and its increasing institutional investment could potentially drive up its price ².$ETH