531441000000 has 637 divisors, whose sum is σ = 1977307639357. Its totient is φ = 141717600000.

The previous prime is 531440999963. The next prime is 531441000061. The reversal of 531441000000 is 144135.

It is a happy number.

The square root of 531441000000 is 729000.

The cubic root of 531441000000 is 8100.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

531441000000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 465593334336 + 65847665664 = 682344^2 + 256608^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 90 ways as a sum of consecutive naturals, for example, 106288199998 + ... + 106288200002.

Almost surely, 2^531441000000 is an apocalyptic number.

531441000000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

531441000000 is the 729000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531441000000

531441000000 is an abundant number, since it is smaller than the sum of its proper divisors (1445866639357).

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

531441000000 is an frugal number, since it uses more digits than its factorization.

531441000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 531441000000 its reverse (144135), we get a palindrome (531441144135).

The spelling of 531441000000 in words is "five hundred thirty-one billion, four hundred forty-one million", and thus it is an aban number.