531044104125200 has 480 divisors, whose sum is σ = 1419349555814400. Its totient is φ = 190025932124160.

The previous prime is 531044104125193. The next prime is 531044104125253. The reversal of 531044104125200 is 2521401440135.

It is a super-2 number, since 2×531044104125200² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10003253057 + ... + 10003306143.

It is an arithmetic number, because the mean of its divisors is an integer number (2956978241280).

Almost surely, 2^{531044104125200} is an apocalyptic number.

531044104125200 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 531044104125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709674777907200).

531044104125200 is an abundant number, since it is smaller than the sum of its proper divisors (888305451689200).

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

531044104125200 is a wasteful number, since it uses less digits than its factorization.

531044104125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53879 (or 53868 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 531044104125200 its reverse (2521401440135), we get a palindrome (533565505565335).

The spelling of 531044104125200 in words is "five hundred thirty-one trillion, forty-four billion, one hundred four million, one hundred twenty-five thousand, two hundred".