Original text
अतुलितबलधामं हेमशैलाभदेहं दनुजवनकृशानुं ज्ञानिनामग्रगण्यम्। सकलगुणनिधानं वानराणामधीशं रघुपतिप्रियभक्तं वातात्मजं नमामि॥
Transliteration
Atulitabaladhamam Hemashailabhadeham, Danujavanakrishanum Gyaninamagraganyam. Sakalagunanidhanam Vanaranamadhisham, Raghupatipriyabhaktam Vatatmajam Namami.
A verse from Tulsidas's Hanuman Stavan
This shloka comes from Hanuman Stavan, attributed to Tulsidas, and functions as a general salutation (namaskar) rather than a request for anything specific — its whole content is a description of who Hanuman is, offered as an act of respect before other prayer or recitation begins.
What it actually says
Read closely, it calls Hanuman an abode of unequalled strength, his body radiant like a golden mountain, a fire to the forest of demons, foremost among the wise, a treasury of every good quality, lord of the vanaras, the dear devotee of Raghupati (Rama), and son of the wind (Vatatmaja) — packing a remarkably complete character sketch into two lines.
When it's used
It's commonly recited as an opening invocation before Sundarkand path, before the Hanuman Chalisa, or simply on its own as a brief, respectful acknowledgement of Hanuman before any devotional activity — similar in spirit to how a formal greeting precedes a longer conversation.