505541100 has 72 divisors (see below), whose sum is σ = 1465618000. Its totient is φ = 134542080.

The previous prime is 505541039. The next prime is 505541107. The reversal of 505541100 is 1145505.

It is not an unprimeable number, because it can be changed into a prime (505541107) 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, 182526 + ... + 185274.

Almost surely, 2^505541100 is an apocalyptic number.

505541100 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 505541100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732809000).

505541100 is an abundant number, since it is smaller than the sum of its proper divisors (960076900).

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

505541100 is a wasteful number, since it uses less digits than its factorization.

505541100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3372 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 505541100 is about 22484.2411479685. The cubic root of 505541100 is about 796.6217438960.

Adding to 505541100 its reverse (1145505), we get a palindrome (506686605).

The spelling of 505541100 in words is "five hundred five million, five hundred forty-one thousand, one hundred".