531147528 has 96 divisors (see below), whose sum is σ = 1500595200. Its totient is φ = 169513344.

The previous prime is 531147509. The next prime is 531147553. The reversal of 531147528 is 825741135.

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 = 531147492 and 531147501.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264175 + ... + 266177.

It is an arithmetic number, because the mean of its divisors is an integer number (15631200).

Almost surely, 2^531147528 is an apocalyptic number.

531147528 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531147528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750297600).

531147528 is an abundant number, since it is smaller than the sum of its proper divisors (969447672).

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

531147528 is a wasteful number, since it uses less digits than its factorization.

531147528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2164 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 531147528 is about 23046.6381062401. The cubic root of 531147528 is about 809.8508733237.

The spelling of 531147528 in words is "five hundred thirty-one million, one hundred forty-seven thousand, five hundred twenty-eight".