10005605563 has 2 divisors, whose sum is σ = 10005605564. Its totient is φ = 10005605562.

The previous prime is 10005605507. The next prime is 10005605573. The reversal of 10005605563 is 36550650001.

10005605563 is digitally balanced in base 2, 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 a de Polignac number, because none of the positive numbers 2^k-10005605563 is a prime.

It is a super-2 number, since 2×10005605563² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10005605573) 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, 5002802781 + 5002802782.

It is an arithmetic number, because the mean of its divisors is an integer number (5002802782).

Almost surely, 2^10005605563 is an apocalyptic number.

10005605563 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005605563 is an equidigital number, since it uses as much as digits as its factorization.

10005605563 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13500, while the sum is 31.

The spelling of 10005605563 in words is "ten billion, five million, six hundred five thousand, five hundred sixty-three".