506661100 has 72 divisors (see below), whose sum is σ = 1204016688. Its totient is φ = 183532800.

The previous prime is 506661083. The next prime is 506661101. The reversal of 506661100 is 1166605.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (506661101) 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, 347974 + ... + 349426.

It is an arithmetic number, because the mean of its divisors is an integer number (16722454).

Almost surely, 2^506661100 is an apocalyptic number.

506661100 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 506661100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602008344).

506661100 is an abundant number, since it is smaller than the sum of its proper divisors (697355588).

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

506661100 is a wasteful number, since it uses less digits than its factorization.

506661100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 506661100 is about 22509.1337016776. The cubic root of 506661100 is about 797.2096013268.

It can be divided in two parts, 5066 and 61100, that added together give a palindrome (66166).

The spelling of 506661100 in words is "five hundred six million, six hundred sixty-one thousand, one hundred".