The Holy Spirit’s attributes and activities are always those of God. The titles used of the Holy Spirit identify him as part of the triune nature of the divine being.
The Holy Spirit possesses the attributes of God
He is present everywhere
Ps 139:7–8
Psalm 139:7–8 (NIV) — 7 Where can I go from your Spirit? Where can I flee from your presence? 8 If I go up to the heavens, you are there; if I make my bed in the depths, you are there.