531352105020 has 288 divisors, whose sum is σ = 1820368105920. Its totient is φ = 124272046080.

The previous prime is 531352104989. The next prime is 531352105021. The reversal of 531352105020 is 20501253135.

It is a happy number.

531352105020 is a `hidden beast` number, since 5 + 3 + 135 + 21 + 0 + 502 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531352105021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92615592 + ... + 92621328.

It is an arithmetic number, because the mean of its divisors is an integer number (6320722590).

Almost surely, 2^531352105020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531352105020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910184052960).

531352105020 is an abundant number, since it is smaller than the sum of its proper divisors (1289016000900).

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

531352105020 is a wasteful number, since it uses less digits than its factorization.

531352105020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7405 (or 7400 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 531352105020 its reverse (20501253135), we get a palindrome (551853358155).

The spelling of 531352105020 in words is "five hundred thirty-one billion, three hundred fifty-two million, one hundred five thousand, twenty".