531058080 has 288 divisors, whose sum is σ = 1980853056. Its totient is φ = 119218176.

The previous prime is 531058067. The next prime is 531058081. The reversal of 531058080 is 80850135.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (531058081) 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, 1575672 + ... + 1576008.

It is an arithmetic number, because the mean of its divisors is an integer number (6877962).

Almost surely, 2^531058080 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 531058080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990426528).

531058080 is an abundant number, since it is smaller than the sum of its proper divisors (1449794976).

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

531058080 is a wasteful number, since it uses less digits than its factorization.

531058080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 531058080 is about 23044.6974378055. The cubic root of 531058080 is about 809.8054097417.

The spelling of 531058080 in words is "five hundred thirty-one million, fifty-eight thousand, eighty".