505110000 has 200 divisors, whose sum is σ = 1656032400. Its totient is φ = 132608000.

The previous prime is 505109993. The next prime is 505110031. The reversal of 505110000 is 11505.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×505110000² = 510272224200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3389926 + ... + 3390074.

It is an arithmetic number, because the mean of its divisors is an integer number (8280162).

Almost surely, 2^505110000 is an apocalyptic number.

505110000 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 505110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828016200).

505110000 is an abundant number, since it is smaller than the sum of its proper divisors (1150922400).

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

505110000 is a wasteful number, since it uses less digits than its factorization.

505110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 505110000 is about 22474.6523888580. The cubic root of 505110000 is about 796.3952398603.

Adding to 505110000 its reverse (11505), we get a palindrome (505121505).

It can be divided in two parts, 5051 and 10000, that added together give a palindrome (15051).

The spelling of 505110000 in words is "five hundred five million, one hundred ten thousand".