506613300 has 72 divisors (see below), whose sum is σ = 1476468000. Its totient is φ = 134113920.

The previous prime is 506613269. The next prime is 506613307. The reversal of 506613300 is 3316605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506613307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35626 + ... + 47774.

It is an arithmetic number, because the mean of its divisors is an integer number (20506500).

Almost surely, 2^506613300 is an apocalyptic number.

506613300 is a gapful number since it is divisible by the number (50) 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 506613300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738234000).

506613300 is an abundant number, since it is smaller than the sum of its proper divisors (969854700).

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

506613300 is a wasteful number, since it uses less digits than its factorization.

506613300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12305 (or 12298 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 506613300 is about 22508.0718854370. The cubic root of 506613300 is about 797.1845301189.

Adding to 506613300 its reverse (3316605), we get a palindrome (509929905).

The spelling of 506613300 in words is "five hundred six million, six hundred thirteen thousand, three hundred".