531164003328 has 704 divisors, whose sum is σ = 1880394506240. Its totient is φ = 146731253760.

The previous prime is 531164003299. The next prime is 531164003351. The reversal of 531164003328 is 823300461135.

531164003328 is a `hidden beast` number, since 5 + 3 + 1 + 1 + 640 + 0 + 3 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 531164003292 and 531164003301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 485968350 + ... + 485969442.

Almost surely, 2^531164003328 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 531164003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940197253120).

531164003328 is an abundant number, since it is smaller than the sum of its proper divisors (1349230502912).

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

531164003328 is an equidigital number, since it uses as much as digits as its factorization.

531164003328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 531164003328 in words is "five hundred thirty-one billion, one hundred sixty-four million, three thousand, three hundred twenty-eight".