505500500000 has 84 divisors (see below), whose sum is σ = 1243990443906. Its totient is φ = 202200000000.

The previous prime is 505500499997. The next prime is 505500500051. The reversal of 505500500000 is 5005505.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 223611711376 + 281888788624 = 472876^2 + 530932^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5501 + ... + 1005500.

Almost surely, 2^505500500000 is an apocalyptic number.

505500500000 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 505500500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621995221953).

505500500000 is an abundant number, since it is smaller than the sum of its proper divisors (738489943906).

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

505500500000 is an frugal number, since it uses more digits than its factorization.

505500500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011041 (or 1011008 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 20.

Adding to 505500500000 its reverse (5005505), we get a palindrome (505505505505).

The spelling of 505500500000 in words is "five hundred five billion, five hundred million, five hundred thousand".