The sum of the digits of 681 is five times the number of digits: 6 + 8 + 1 = 15 = 3 x 5.
681 is the sum of 11 positive 5th powers: 681 = 35 + 35 + 25 + 25 + 25 + 25 + 25 + 25 + 15 + 15 + 15.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_gkqfBRDNhPbcW04x5S7mgsVymrDlIkFzWKET3GLBukIlfIQaJs05okiX79v4y3T3Nx1eHSngo9Ysh7R9skXyeBLFSI6upt0o4N_JJqiYARnOrBheH0y7fvtoqNsE9zdTB_K030vLvbE/s400/n0681.jpg)
681 is a centered pentagonal number.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh10ig3Z3-S7RwVw92LLEsOvnXlnpeuhAkE05tPpGPmmrDCuk8Ac4VSwpftUVFLAzm77efwbOZW_QQm3sds0wT_QRuWM6IA_RXpnJ9FO_2p-MafKQGtZmnpPa0XYEx3ztjnip7aKlS4bv0/s400/681.1.gif)
The galaxy NGC 681, more than 55 million light years away, resembles the striking Sombrero Galaxy (M104).
Source: Wolfram MathWorld
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg_gkqfBRDNhPbcW04x5S7mgsVymrDlIkFzWKET3GLBukIlfIQaJs05okiX79v4y3T3Nx1eHSngo9Ysh7R9skXyeBLFSI6upt0o4N_JJqiYARnOrBheH0y7fvtoqNsE9zdTB_K030vLvbE/s400/n0681.jpg)
681 is a centered pentagonal number.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh10ig3Z3-S7RwVw92LLEsOvnXlnpeuhAkE05tPpGPmmrDCuk8Ac4VSwpftUVFLAzm77efwbOZW_QQm3sds0wT_QRuWM6IA_RXpnJ9FO_2p-MafKQGtZmnpPa0XYEx3ztjnip7aKlS4bv0/s400/681.1.gif)
The galaxy NGC 681, more than 55 million light years away, resembles the striking Sombrero Galaxy (M104).
Source: Wolfram MathWorld