Your search for "m570" revealed the following:

LOGITECH UNIFYING RECEIVER

Condition: NEW oem / service product plain non retail package. 

Compatible with the following models:

Anywhere Mouse MX (M905)
Performance Mouse MX(M950)
Wireless Mouse M505,M510,M525,M305,M310,M315,M325,M345,M705,M215,M185(newest unifying version)
Couch Mouse M515
Touch Mouse M600
Marathon Mouse M705
Logitech keyboard K230,K250,K350
Logitech Wireless Solar Keyboard K750,K800
Logitech Wireless Desktop MK710,MK605
Logitech Wireless Wave Combo MK550
Wireless Combo MK520
Logitech Number Pad N305
Logitech Wireless Trackball M570
MK330
Couch Mouse M515
Illuminated Living-Room Keyboard K830
Logitech Cube
Logitech Wireless Wave Combo MK550
Marathon Mouse M705
Mouse M525-C
Notebook Kit MK605
Performance Mouse MX
Touch Mouse M600
Touch Mouse T620
Wireless All-in-One Keyboard TK820
Wireless Combo MK360
Wireless Combo MK520
Wireless Desktop MK320
Wireless Desktop MK710
Wireless Illuminated Keyboard K800
Wireless Keyboard K230
Wireless Keyboard K250
Wireless Keyboard K270 (newest unifying version)
Wireless Keyboard K340
Wireless Keyboard K350
Wireless Keyboard K360
Wireless Mouse M217
Wireless Mouse M325
Wireless Mouse M505
Wireless Mouse M510
Wireless Mouse M525
Wireless Mouse M560
Wireless Number Pad N305
Wireless Performance Combo MX800
Wireless Rechargeable Touchpad T650
Wireless Solar Keyboard & Marathon Mouse Combo MK750
Wireless Solar Keyboard K750
Wireless Touch Keyboard K400
Wireless Touch Keyboard K400
Wireless Touchpad
Wireless Trackball M570
Wireless Wave Plus Combo MK560
Zone Touch Mouse T400