531395072 has 80 divisors (see below), whose sum is σ = 1183283640. Its totient is φ = 236716032.

The previous prime is 531395057. The next prime is 531395093. The reversal of 531395072 is 270593135.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 479785216 + 51609856 = 21904^2 + 7184^2 .

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 7 ways as a sum of consecutive naturals, for example, 191648 + ... + 194400.

Almost surely, 2^531395072 is an apocalyptic number.

531395072 is a gapful number since it is divisible by the number (52) 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 531395072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591641820).

531395072 is an abundant number, since it is smaller than the sum of its proper divisors (651888568).

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

531395072 is a wasteful number, since it uses less digits than its factorization.

531395072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 35.

The square root of 531395072 is about 23052.0079819525. The cubic root of 531395072 is about 809.9766654864.

The spelling of 531395072 in words is "five hundred thirty-one million, three hundred ninety-five thousand, seventy-two".