526 is the number of ways to cut an 8-by-8 chessboard into two pieces with equal areas using a cut that travels only up and right.
526 is a Smith number. It a composite number such that the sum of its digits is equal to the sum of its prime factors: 5 + 2 + 6 = 2 + 2 + 6 + 3 = 13.
526 and 527 are both the products of two primes: 526 = 2 x 263 and 527 = 17 x 31.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKaN51M8qEeYd2ITYvqmwnBsDt_QTLFhCm_7ZhdfaftZLFzeGsg_mmHAhZcMpAoFQDR1KJBl0oyzDvepdFXfdIJe1PeE8cfqE3QIVYAFodcUF7d9zuA_UjfvVPzwIN5lgOQAbINVCqiJQ/s400/n0526.jpg)
526 is a centered pentagonal number.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgI0n14qFvmxFObTX22FcHlA1MTuw2PL9pzC_7oCKNkDlhbDI_48McGyp5inuD3TQlKBiiN0XIXzP1jjZs2ZY2dI91GN4GBBbp2QYXTKawMC0cu7UgP3_khk7QKZHYD4uzRktAFFh7d03M/s400/240px-Nombre_pentagon_cent.svg.png)
Source: What’s Special About This Number?
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKaN51M8qEeYd2ITYvqmwnBsDt_QTLFhCm_7ZhdfaftZLFzeGsg_mmHAhZcMpAoFQDR1KJBl0oyzDvepdFXfdIJe1PeE8cfqE3QIVYAFodcUF7d9zuA_UjfvVPzwIN5lgOQAbINVCqiJQ/s400/n0526.jpg)
526 is a centered pentagonal number.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgI0n14qFvmxFObTX22FcHlA1MTuw2PL9pzC_7oCKNkDlhbDI_48McGyp5inuD3TQlKBiiN0XIXzP1jjZs2ZY2dI91GN4GBBbp2QYXTKawMC0cu7UgP3_khk7QKZHYD4uzRktAFFh7d03M/s400/240px-Nombre_pentagon_cent.svg.png)
Source: What’s Special About This Number?