531005268816 has 240 divisors, whose sum is σ = 1773892713600. Its totient is φ = 151445099520.

The previous prime is 531005268811. The next prime is 531005268847. The reversal of 531005268816 is 618862500135.

531005268816 is a `hidden beast` number, since 5 + 3 + 100 + 526 + 8 + 8 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531005268811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 589845 + ... + 1187403.

It is an arithmetic number, because the mean of its divisors is an integer number (7391219640).

Almost surely, 2^531005268816 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 531005268816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886946356800).

531005268816 is an abundant number, since it is smaller than the sum of its proper divisors (1242887444784).

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

531005268816 is a wasteful number, since it uses less digits than its factorization.

531005268816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597615 (or 597592 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 531005268816 in words is "five hundred thirty-one billion, five million, two hundred sixty-eight thousand, eight hundred sixteen".