The Arcane Mystery of Vriksh

The Arcane Mystery of Vriksh
The ancient trees of Vriksh whisper a second secret, guarded by an intricate web of logic. To uncover this mystery, you must solve for a three-digit number. Each digit is confined within specific ranges:

- The first digit ranges between 0 and 2.
- The second digit ranges between 0 and 5.
- The third digit ranges between 0 and 5.

Solve these perplexing clues.

The First Digit:
I am neither a beginning nor an end. My value lies between the duality of extremes.
I am as many as the number of distinct faces on a fair coin.

The Second Digit:
I am the digit whose double is identical to its half when expressed in single digits.
I hold symmetry and balance, reflecting my shape in a perfect circle.

The Third Digit:
I am a palindrome in numerical form, unchanged by reflections and rotations.
My square root and cube root both lead to whole numbers.

Question: What's the number?

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