506539008 has 220 divisors, whose sum is σ = 1569344832. Its totient is φ = 162570240.

The previous prime is 506539001. The next prime is 506539037. The reversal of 506539008 is 800935605.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (506539001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2571166 + ... + 2571362.

Almost surely, 2^506539008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506539008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784672416).

506539008 is an abundant number, since it is smaller than the sum of its proper divisors (1062805824).

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

506539008 is a wasteful number, since it uses less digits than its factorization.

506539008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 506539008 is about 22506.4214836566. The cubic root of 506539008 is about 797.1455606667.

The spelling of 506539008 in words is "five hundred six million, five hundred thirty-nine thousand, eight".