1067567561 has 2 divisors, whose sum is σ = 1067567562. Its totient is φ = 1067567560.

The previous prime is 1067567489. The next prime is 1067567587. The reversal of 1067567561 is 1657657601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 747694336 + 319873225 = 27344^2 + 17885^2 .

It is an emirp because it is prime and its reverse (1657657601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1067567561 - 2¹⁰ = 1067566537 is a prime.

It is a super-2 number, since 2×1067567561² = 2279400994598977442, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1067567261) by changing a digit.

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 as a sum of consecutive naturals, namely, 533783780 + 533783781.

It is an arithmetic number, because the mean of its divisors is an integer number (533783781).

Almost surely, 2^1067567561 is an apocalyptic number.

It is an amenable number.

1067567561 is a deficient number, since it is larger than the sum of its proper divisors (1).

1067567561 is an equidigital number, since it uses as much as digits as its factorization.

1067567561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264600, while the sum is 44.

The square root of 1067567561 is about 32673.6523976124. The cubic root of 1067567561 is about 1022.0334805075.

The spelling of 1067567561 in words is "one billion, sixty-seven million, five hundred sixty-seven thousand, five hundred sixty-one".