505500302800 has 30 divisors (see below), whose sum is σ = 1214464478438. Its totient is φ = 202200120960.

The previous prime is 505500302789. The next prime is 505500302809. The reversal of 505500302800 is 8203005505.

It can be written as a sum of positive squares in 3 ways, for example, as 9692796304 + 495807506496 = 98452^2 + 704136^2 .

It is a super-2 number, since 2×505500302800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505500302809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 631874979 + ... + 631875778.

Almost surely, 2^505500302800 is an apocalyptic number.

505500302800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505500302800 is an abundant number, since it is smaller than the sum of its proper divisors (708964175638).

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

505500302800 is a wasteful number, since it uses less digits than its factorization.

505500302800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263750775 (or 1263750764 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 505500302800 in words is "five hundred five billion, five hundred million, three hundred two thousand, eight hundred".