531152245200000 has 384 divisors, whose sum is σ = 1800999581149440. Its totient is φ = 138626954240000.

The previous prime is 531152245199861. The next prime is 531152245200041. The reversal of 531152245200000 is 2542251135.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51691204 + ... + 61108796.

It is an arithmetic number, because the mean of its divisors is an integer number (4690103075910).

Almost surely, 2^{531152245200000} is an apocalyptic number.

531152245200000 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 531152245200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900499790574720).

531152245200000 is an abundant number, since it is smaller than the sum of its proper divisors (1269847335949440).

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

531152245200000 is an frugal number, since it uses more digits than its factorization.

531152245200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9417682 (or 9417650 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 531152245200000 its reverse (2542251135), we get a palindrome (531154787451135).

The spelling of 531152245200000 in words is "five hundred thirty-one trillion, one hundred fifty-two billion, two hundred forty-five million, two hundred thousand".