506711226 has 64 divisors (see below), whose sum is σ = 1217323008. Its totient is φ = 137567808.

The previous prime is 506711221. The next prime is 506711237. The reversal of 506711226 is 622117605.

It is a junction number, because it is equal to n+sod(n) for n = 506711193 and 506711202.

It is not an unprimeable number, because it can be changed into a prime (506711221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63031 + ... + 70613.

It is an arithmetic number, because the mean of its divisors is an integer number (19020672).

Almost surely, 2^506711226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506711226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608661504).

506711226 is an abundant number, since it is smaller than the sum of its proper divisors (710611782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506711226 is a wasteful number, since it uses less digits than its factorization.

506711226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7675.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 506711226 is about 22510.2471332502. The cubic root of 506711226 is about 797.2358908333.

The spelling of 506711226 in words is "five hundred six million, seven hundred eleven thousand, two hundred twenty-six".