531526320 has 320 divisors, whose sum is σ = 2059868160. Its totient is φ = 124996608.

The previous prime is 531526313. The next prime is 531526351. The reversal of 531526320 is 23625135.

531526320 is a `hidden beast` number, since 5 + 315 + 26 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 645429 + ... + 646251.

It is an arithmetic number, because the mean of its divisors is an integer number (6437088).

Almost surely, 2^531526320 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 531526320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029934080).

531526320 is an abundant number, since it is smaller than the sum of its proper divisors (1528341840).

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

531526320 is a wasteful number, since it uses less digits than its factorization.

531526320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 869 counting only the distinct ones).

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

The square root of 531526320 is about 23054.8545863989. The cubic root of 531526320 is about 810.0433447312.

It can be divided in two parts, 531 and 526320, that added together give a triangular number (526851 = T₁₀₂₆).

The spelling of 531526320 in words is "five hundred thirty-one million, five hundred twenty-six thousand, three hundred twenty".