531135442200 has 192 divisors, whose sum is σ = 1798968787200. Its totient is φ = 128561881600.

The previous prime is 531135442193. The next prime is 531135442213. The reversal of 531135442200 is 2244531135.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4248181 + ... + 4371419.

It is an arithmetic number, because the mean of its divisors is an integer number (9369629100).

Almost surely, 2^531135442200 is an apocalyptic number.

531135442200 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 531135442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899484393600).

531135442200 is an abundant number, since it is smaller than the sum of its proper divisors (1267833345000).

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

531135442200 is a wasteful number, since it uses less digits than its factorization.

531135442200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123922 (or 123913 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 531135442200 its reverse (2244531135), we get a palindrome (533379973335).

The spelling of 531135442200 in words is "five hundred thirty-one billion, one hundred thirty-five million, four hundred forty-two thousand, two hundred".