How can I change the name of name of the EPSG:25832 coordinate system from NUTM32 to ETRS_1989_UTM_Zone_32N?

If you have FME ESRI or Professional edition you can use the ESRIReprojector transformer which uses the ESRI reprojection library.

A couple of questions: Which format are you writing to? I'm assuming Geodatabase? And where do you see "NUTM32"? Is that in FME or is that what ArcGIS reports?

The process of writing coordinate systems is managed by what we call "exceptions". If you look in the installation folder, <fme>\\reproject\\exceptions you'll see the files where these are stored. These lookup files are how FME maps a coordinate system like EPSG:25832 to the Esri WKT equivalent.

There is also a shared folder (usually <documents>\\FME\\CoordinateSystemExceptions) where you can add your own exceptions.

So, personally I see that EPSG:25832 exists in esriwkt.db in the main exceptions folder, and maps to an Esri coordinate system that I assume is correct. However, perhaps you could look and see if this is what you are expecting. It might be (though unlikely) that the parameters are incorrect in this file.

I don't see any reference to NUTM32 in that file though. In fact, I have trouble finding that at all. So, what you could do is copy that line from esriwkt.db, paste it to a new text file, change "EPSG:25832" to "NUTM32" and save that file in <documents>\\FME\\CoordinateSystemExceptions. Save it as something that comes alphabetically before esriwkt.db (eg anesriwkt.db, not myesriwkt.db) because the files are loaded in alphabetical order.

That *might* do the trick. I'm going on the assumption that FME is missing an exception for that coordinate system. That might not be the issue, but it's what I suggest to try first. If that doesn't work, let me know (or file a case with support at safe.com/support)

NUTM32 is what ArcGIS Desktop shows under coordinate system properties. And this is the problem, because I am reprojecting to ECW and not to a geodatabase.

Still doesn´t work!