505201130525200 has 60 divisors (see below), whose sum is σ = 1255599016670340. Its totient is φ = 195112160750080.

The previous prime is 505201130525149. The next prime is 505201130525249. The reversal of 505201130525200 is 2525031102505.

It can be written as a sum of positive squares in 6 ways, for example, as 17399309877504 + 487801820647696 = 4171248^2 + 22086236^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21775899199 + ... + 21775922398.

It is an arithmetic number, because the mean of its divisors is an integer number (20926650277839).

Almost surely, 2^{505201130525200} is an apocalyptic number.

505201130525200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505201130525200 is an abundant number, since it is smaller than the sum of its proper divisors (750397886145140).

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

505201130525200 is a wasteful number, since it uses less digits than its factorization.

505201130525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43551821644 (or 43551821633 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

Adding to 505201130525200 its reverse (2525031102505), we get a palindrome (507726161627705).

The spelling of 505201130525200 in words is "five hundred five trillion, two hundred one billion, one hundred thirty million, five hundred twenty-five thousand, two hundred".