8125

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Number

$8125$ (eight thousand, one hundred and twenty-five) is:

$5^4 \times 13$


The $25$th pentagonal pyramidal number after $1$, $6$, $12$, $40$, $75$, $\ldots$, $1470$, $1800$, $2176$, $2601$, $3078$, $3610$, $4200$, $4851$, $5566$, $6348$, $7200$:
$8125 = \ds \sum_{k \mathop = 1}^{25} \dfrac {k \paren {3 k - 1} } 2 = \dfrac {25^2 \paren {25 + 1} } 2$


Also see