505200603000 has 256 divisors, whose sum is σ = 1612501862400. Its totient is φ = 131629478400.

The previous prime is 505200602911. The next prime is 505200603001. The reversal of 505200603000 is 306002505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505200603001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92916282 + ... + 92921718.

It is an arithmetic number, because the mean of its divisors is an integer number (6298835400).

Almost surely, 2^505200603000 is an apocalyptic number.

505200603000 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 505200603000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806250931200).

505200603000 is an abundant number, since it is smaller than the sum of its proper divisors (1107301259400).

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

505200603000 is a wasteful number, since it uses less digits than its factorization.

505200603000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

Adding to 505200603000 its reverse (306002505), we get a palindrome (505506605505).

The spelling of 505200603000 in words is "five hundred five billion, two hundred million, six hundred three thousand".