531585280 has 72 divisors (see below), whose sum is σ = 1295078400. Its totient is φ = 209000448.

The previous prime is 531585277. The next prime is 531585281. The reversal of 531585280 is 82585135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531585281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72001 + ... + 79039.

It is an arithmetic number, because the mean of its divisors is an integer number (17987200).

Almost surely, 2^531585280 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 531585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647539200).

531585280 is an abundant number, since it is smaller than the sum of its proper divisors (763493120).

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

531585280 is an equidigital number, since it uses as much as digits as its factorization.

531585280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7119 (or 7105 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The square root of 531585280 is about 23056.1332404200. The cubic root of 531585280 is about 810.0732952015.

The spelling of 531585280 in words is "five hundred thirty-one million, five hundred eighty-five thousand, two hundred eighty".