What's the gross monthly income needed to be eligible for a mortgage loan of $500,000?

for a loan amount of 500k 30 years fixed, the monthly mortgage would be around 2.5k. What i want to know is what would your gross income per month have to be for you to be accepted for a loan this amount?
Update: --- forgot to mention With a high credit score
Update 2: -------- the 500k is with a down payment already the total loan is 500k and in my area the rates are around 4% for 30 years fixed
Update 3: --- i have no debt, my car payments have all been paid off
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