2601

Number
$2601$ (two thousand, six hundred and one) is:


 * $3^2 \times 17^2$


 * Can be expressed as the sum of $3$ squares in $12$ different ways.


 * The $17$th pentagonal pyramidal number after $1$, $6$, $12$, $40$, $75$, $126$, $196$, $288$, $405$, $550$, $726$, $936$, $1183$, $1470$, $1800$, $2176$:
 * $2601 = \ds \sum_{k \mathop = 1}^{17} \dfrac {k \paren {3 k - 1} } 2 = \dfrac {17^2 \paren {17 + 1} } 2$


 * The $51$st square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $1521$, $1600$, $1681$, $1764$, $1849$, $1936$, $2025$, $2116$, $2209$, $2304$, $2401$, $2500$:
 * $2601 = 51 \times 51$

Also see

 * 2601 as Sum of 3 Squares in 12 Different Ways