531248256 has 384 divisors, whose sum is σ = 1959085440. Its totient is φ = 134184960.

The previous prime is 531248231. The next prime is 531248261. The reversal of 531248256 is 652842135.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 531248256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4701256 + ... + 4701368.

It is an arithmetic number, because the mean of its divisors is an integer number (5101785).

Almost surely, 2^531248256 is an apocalyptic number.

531248256 is a gapful number since it is divisible by the number (56) 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 531248256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979542720).

531248256 is an abundant number, since it is smaller than the sum of its proper divisors (1427837184).

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

531248256 is a wasteful number, since it uses less digits than its factorization.

531248256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 531248256 is about 23048.8233105293. The cubic root of 531248256 is about 809.9020640622.

The spelling of 531248256 in words is "five hundred thirty-one million, two hundred forty-eight thousand, two hundred fifty-six".