What Greek surmames mean immortal?

There isn't a single Greek surname that directly translates to "immortal" in the way we typically understand the word (meaning incapable of dying). Greek names often conveyed ideas of strength, beauty, virtue, or connection to gods, but immortality wasn't a common direct attribute assigned to a family name.

However, names incorporating elements associated with immortality or long life *could* be interpreted as symbolically referencing it. For example, names containing elements related to:

* Gods of long life or rejuvenation: Names incorporating elements related to Helios (sun, associated with life-giving energy) or other gods associated with longevity might be loosely connected to the idea of immortality. However, these would be part of a longer name, not a standalone surname.

* Eternal things: Names incorporating elements related to stars (Astr-...), mountains (Oro-...), or the sea (Thalass-...) could be argued to symbolically represent enduring qualities. Again, this would be part of a personal name, not usually a surname alone.

In short, a direct translation "Immortal" as a Greek surname doesn't exist. The concept would be conveyed through association with powerful gods or enduring natural elements within a broader name.