506573536 has 48 divisors (see below), whose sum is σ = 1148829696. Its totient is φ = 215381376.

The previous prime is 506573513. The next prime is 506573563. The reversal of 506573536 is 635375605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19545 + ... + 37351.

It is an arithmetic number, because the mean of its divisors is an integer number (23933952).

Almost surely, 2^506573536 is an apocalyptic number.

506573536 is a gapful number since it is divisible by the number (56) 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 506573536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574414848).

506573536 is an abundant number, since it is smaller than the sum of its proper divisors (642256160).

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

506573536 is a wasteful number, since it uses less digits than its factorization.

506573536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17951 (or 17943 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 40.

The square root of 506573536 is about 22507.1885405530. The cubic root of 506573536 is about 797.1636726095.

The spelling of 506573536 in words is "five hundred six million, five hundred seventy-three thousand, five hundred thirty-six".