531441000001 has 8 divisors (see below), whose sum is σ = 540220327208. Its totient is φ = 522663840000.

The previous prime is 531440999963. The next prime is 531441000061. The reversal of 531441000001 is 100000144135.

It is a Cunningham number, because it is equal to 90⁶+1.

It can be written as a sum of positive squares in 4 ways, for example, as 17281731600 + 514159268401 = 131460^2 + 717049^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-531441000001 is a prime.

It is a super-3 number, since 3×531441000001³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (531441000061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43560 + ... + 1031881.

It is an arithmetic number, because the mean of its divisors is an integer number (67527540901).

Almost surely, 2^531441000001 is an apocalyptic number.

It is an amenable number.

531441000001 is a deficient number, since it is larger than the sum of its proper divisors (8779327207).

531441000001 is a wasteful number, since it uses less digits than its factorization.

531441000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083603.

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 531441000001 its reverse (100000144135), we get a palindrome (631441144136).

The spelling of 531441000001 in words is "five hundred thirty-one billion, four hundred forty-one million, one", and thus it is an aban number.