505201300 has 72 divisors (see below), whose sum is σ = 1124928000. Its totient is φ = 196859520.

The previous prime is 505201283. The next prime is 505201313. The reversal of 505201300 is 3102505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054461 + ... + 1054939.

It is an arithmetic number, because the mean of its divisors is an integer number (15624000).

Almost surely, 2^505201300 is an apocalyptic number.

505201300 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 505201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464000).

505201300 is an abundant number, since it is smaller than the sum of its proper divisors (619726700).

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

505201300 is a wasteful number, since it uses less digits than its factorization.

505201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 505201300 is about 22476.6834742139. The cubic root of 505201300 is about 796.4432205014.

Adding to 505201300 its reverse (3102505), we get a palindrome (508303805).

The spelling of 505201300 in words is "five hundred five million, two hundred one thousand, three hundred".