5261213331200 has 432 divisors, whose sum is σ = 14114832842880. Its totient is φ = 1935096791040.

The previous prime is 5261213331191. The next prime is 5261213331223. The reversal of 5261213331200 is 21333121625.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 852291314 + ... + 852297486.

Almost surely, 2^{5261213331200} is an apocalyptic number.

5261213331200 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 5261213331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7057416421440).

5261213331200 is an abundant number, since it is smaller than the sum of its proper divisors (8853619511680).

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

5261213331200 is a wasteful number, since it uses less digits than its factorization.

5261213331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6405 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 5261213331200 its reverse (21333121625), we get a palindrome (5282546452825).

The spelling of 5261213331200 in words is "five trillion, two hundred sixty-one billion, two hundred thirteen million, three hundred thirty-one thousand, two hundred".