531256320 has 528 divisors, whose sum is σ = 2217441408. Its totient is φ = 119439360.

The previous prime is 531256267. The next prime is 531256343. The reversal of 531256320 is 23652135.

531256320 is a `hidden beast` number, since 5 + 3 + 1 + 25 + 632 + 0 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8709090 + ... + 8709150.

Almost surely, 2^531256320 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 531256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108720704).

531256320 is an abundant number, since it is smaller than the sum of its proper divisors (1686185088).

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

531256320 is an equidigital number, since it uses as much as digits as its factorization.

531256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 531256320 is about 23048.9982428738. The cubic root of 531256320 is about 809.9061619688.

The spelling of 531256320 in words is "five hundred thirty-one million, two hundred fifty-six thousand, three hundred twenty".