531441000061 has 2 divisors, whose sum is σ = 531441000062. Its totient is φ = 531441000060.

The previous prime is 531440999963. The next prime is 531441000113. The reversal of 531441000061 is 160000144135.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 510518824036 + 20922176025 = 714506^2 + 144645^2 .

It is a cyclic number.

It is not a de Polignac number, because 531441000061 - 2⁷ = 531440999933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (531441001061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 265720500030 + 265720500031.

It is an arithmetic number, because the mean of its divisors is an integer number (265720500031).

Almost surely, 2^531441000061 is an apocalyptic number.

It is an amenable number.

531441000061 is a deficient number, since it is larger than the sum of its proper divisors (1).

531441000061 is an equidigital number, since it uses as much as digits as its factorization.

531441000061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 531441000061 its reverse (160000144135), we get a palindrome (691441144196).

The spelling of 531441000061 in words is "five hundred thirty-one billion, four hundred forty-one million, sixty-one", and thus it is an aban number.