Giant Power Divisors

581215104+1 \LARGE \color{#D61F06} 5^{\color{#3D99F6}8^{\color{#20A900}{12}^{\color{#69047E}{15}^{\color{#624F41}{104}}}}} + \color{#D61F06}1

Determine the smallest prime divisor of the gigantic number above.

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