531118080 has 384 divisors, whose sum is σ = 2016705600. Its totient is φ = 132120576.

The previous prime is 531118073. The next prime is 531118109. The reversal of 531118080 is 80811135.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4700104 + ... + 4700216.

Almost surely, 2^531118080 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 531118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008352800).

531118080 is an abundant number, since it is smaller than the sum of its proper divisors (1485587520).

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

531118080 is a wasteful number, since it uses less digits than its factorization.

531118080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 531118080 is about 23045.9992189534. Note that the first 3 decimals coincide. The cubic root of 531118080 is about 809.8359064027.

The spelling of 531118080 in words is "five hundred thirty-one million, one hundred eighteen thousand, eighty".