531245330100 has 432 divisors, whose sum is σ = 1782307800000. Its totient is φ = 131888885760.

The previous prime is 531245330071. The next prime is 531245330101. The reversal of 531245330100 is 1033542135.

531245330100 is a `hidden beast` number, since 5 + 3 + 1 + 24 + 533 + 0 + 100 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531245330101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1064619651 + ... + 1064620149.

It is an arithmetic number, because the mean of its divisors is an integer number (4125712500).

Almost surely, 2^531245330100 is an apocalyptic number.

531245330100 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 531245330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891153900000).

531245330100 is an abundant number, since it is smaller than the sum of its proper divisors (1251062469900).

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

531245330100 is a wasteful number, since it uses less digits than its factorization.

531245330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 531245330100 its reverse (1033542135), we get a palindrome (532278872235).

The spelling of 531245330100 in words is "five hundred thirty-one billion, two hundred forty-five million, three hundred thirty thousand, one hundred".