505241100 has 432 divisors, whose sum is σ = 2022092800. Its totient is φ = 102643200.

The previous prime is 505241083. The next prime is 505241111. The reversal of 505241100 is 1142505.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2538801 + ... + 2538999.

Almost surely, 2^505241100 is an apocalyptic number.

505241100 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 505241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011046400).

505241100 is an abundant number, since it is smaller than the sum of its proper divisors (1516851700).

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

505241100 is a wasteful number, since it uses less digits than its factorization.

505241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 505241100 is about 22477.5688187135. The cubic root of 505241100 is about 796.4641346781.

Adding to 505241100 its reverse (1142505), we get a palindrome (506383605).

The spelling of 505241100 in words is "five hundred five million, two hundred forty-one thousand, one hundred".