4006561123067 has 2 divisors, whose sum is σ = 4006561123068. Its totient is φ = 4006561123066.

The previous prime is 4006561122989. The next prime is 4006561123091. The reversal of 4006561123067 is 7603211656004.

4006561123067 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 4006561123067 - 2¹⁰ = 4006561122043 is a prime.

It is not a weakly prime, because it can be changed into another prime (4006561123267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2003280561533 + 2003280561534.

It is an arithmetic number, because the mean of its divisors is an integer number (2003280561534).

Almost surely, 2^{4006561123067} is an apocalyptic number.

4006561123067 is a deficient number, since it is larger than the sum of its proper divisors (1).

4006561123067 is an equidigital number, since it uses as much as digits as its factorization.

4006561123067 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 4006561123067 in words is "four trillion, six billion, five hundred sixty-one million, one hundred twenty-three thousand, sixty-seven".