> What does the value 5874897 AD mean? Which year, month, day, please?

The maximum allowed date (not timestamp) is Dec 31st in the year 5874897, which 
you can test with the query: select '5874897-12-31'::date; and select 
'5874897-12-31'::date + interval '1 day'; The latter query fails with "Error: 
date out of range for timestamp".  

I logged nearly this same response for you on StackOverflow, too.

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