505800100 has 81 divisors (see below), whose sum is σ = 1195420233. Its totient is φ = 185677440.

The previous prime is 505800089. The next prime is 505800131. The reversal of 505800100 is 1008505.

The square root of 505800100 is 22490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 279357796 + 226442304 = 16714^2 + 15048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2923614 + ... + 2923786.

Almost surely, 2^505800100 is an apocalyptic number.

505800100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

505800100 is the 22490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505800100

505800100 is an abundant number, since it is smaller than the sum of its proper divisors (689620133).

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

505800100 is a wasteful number, since it uses less digits than its factorization.

505800100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The cubic root of 505800100 is about 796.7577630425.

Adding to 505800100 its reverse (1008505), we get a palindrome (506808605).

The spelling of 505800100 in words is "five hundred five million, eight hundred thousand, one hundred".