531045310400 has 168 divisors, whose sum is σ = 1426080927360. Its totient is φ = 193027968000.

The previous prime is 531045310343. The next prime is 531045310421. The reversal of 531045310400 is 4013540135.

It is a self number, because there is not a number n which added to its sum of digits gives 531045310400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58409855 + ... + 58418945.

Almost surely, 2^531045310400 is an apocalyptic number.

531045310400 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 531045310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713040463680).

531045310400 is an abundant number, since it is smaller than the sum of its proper divisors (895035616960).

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

531045310400 is a wasteful number, since it uses less digits than its factorization.

531045310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12443 (or 12428 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 531045310400 its reverse (4013540135), we get a palindrome (535058850535).

It can be divided in two parts, 53104 and 5310400, that multiplied together give a square (282003481600 = 531040²).

The spelling of 531045310400 in words is "five hundred thirty-one billion, forty-five million, three hundred ten thousand, four hundred".