Commonly used EDA Tool for full customer IC design:
Synopsys

 
bullet Design logic synthesis
bullet Physical Compiler physical synthesis
bullet Jupiter floorplanner
bullet Astro automatic place and route
bullet AstroRail and Astro XTalk analysis
bullet STAR-RCXT RC parasitic extraction
bullet Formality formal verification
bullet PrimeTime and PrimeTime-SI timing analysis
bullet Hercules LVS/DRC physical verification
Cadence

 
bullet First Encounter virtuall prototyping
bullet SoC Encounter place and route 
bullet Fire & Ice QX RC parasitic extraction
bullet VoltageStorm power analysis
bullet Conformal-LC formal verification
bullet CeltIC crosstalk analysis
bullet Assura LVS/DRC physical verification
Mentor

 
bullet Calibre LVS/DRC physical verification