506324052 has 144 divisors (see below), whose sum is σ = 1424077200. Its totient is φ = 150718464.

The previous prime is 506324051. The next prime is 506324057. The reversal of 506324052 is 250423605.

It can be written as a sum of positive squares in 8 ways, for example, as 32216976 + 474107076 = 5676^2 + 21774^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506324051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3398074 + ... + 3398222.

It is an arithmetic number, because the mean of its divisors is an integer number (9889425).

Almost surely, 2^506324052 is an apocalyptic number.

506324052 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506324052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712038600).

506324052 is an abundant number, since it is smaller than the sum of its proper divisors (917753148).

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

506324052 is a wasteful number, since it uses less digits than its factorization.

506324052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 506324052 is about 22501.6455398266. The cubic root of 506324052 is about 797.0327852355.

Adding to 506324052 its reverse (250423605), we get a palindrome (756747657).

The spelling of 506324052 in words is "five hundred six million, three hundred twenty-four thousand, fifty-two".