505011100 has 72 divisors (see below), whose sum is σ = 1208078928. Its totient is φ = 181708800.

The previous prime is 505011097. The next prime is 505011107. The reversal of 505011100 is 1110505.

It is a super-2 number, since 2×505011100² = 510072422246420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505011107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104334 + ... + 109066.

It is an arithmetic number, because the mean of its divisors is an integer number (16778874).

Almost surely, 2^505011100 is an apocalyptic number.

505011100 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 505011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604039464).

505011100 is an abundant number, since it is smaller than the sum of its proper divisors (703067828).

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

505011100 is a wasteful number, since it uses less digits than its factorization.

505011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4855 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 505011100 is about 22472.4520246456. The cubic root of 505011100 is about 796.3432586876.

Adding to 505011100 its reverse (1110505), we get a palindrome (506121605).

The spelling of 505011100 in words is "five hundred five million, eleven thousand, one hundred".