Ace, 
Rolling Blocks (American, Swedish, or Danish, Egyptian, etc) were never marked with a number size. If it's one of the old military actions, they are usually a #1 action. If it's a civilian action, they run more in the #1 1/2-#2 size.
If you can post actual dimnsions,I can give you an idea of which frame size it is.-Vall

If it's a Swede Roller, but has Remington rollstamps on the top tang, I guarantee it's a #1 size action. If it doesn't have the Rem. markings, then I'd need to look at the auction to determine if it's the large frame.
I would hope it's a #1 if it's chambered in .45-70, but I've seen a few of the smaller commercial Swedes rebarreled in .45-70 also. 

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There's a lot of good info on those two sites!

The Swede rolling blocks are as good as any, when loaded to pressures appropriate to their age and design.

I would not expect a Remington smokeless action to last very long when loaded with a modern high pressure round, and the Swede 8mm guns, as was that one, were said to be quite a fair bit better than the Remingtons, from a metallurgy perspective.

Like any other action, especially an old action, a bit of brainpower is expected to be used. The catastrophic failures that have been documented, that I have seen (3 IIRC) could all be traced back to ignorance or stupidity, rather than to design failure.

Workmanship and condition. That covers the most of it.

Cheers
  Trev

Yes, that's the #5 in 7mm.