10605555555593 has 2 divisors, whose sum is σ = 10605555555594. Its totient is φ = 10605555555592.

The previous prime is 10605555555523. The next prime is 10605555555607. The reversal of 10605555555593 is 39555555550601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10600774109689 + 4781445904 = 3255883^2 + 69148^2 .

It is a cyclic number.

It is not a de Polignac number, because 10605555555593 - 2¹⁸ = 10605555293449 is a prime.

It is a super-2 number, since 2×10605555555593² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10605555555523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5302777777796 + 5302777777797.

It is an arithmetic number, because the mean of its divisors is an integer number (5302777777797).

Almost surely, 2^{10605555555593} is an apocalyptic number.

It is an amenable number.

10605555555593 is a deficient number, since it is larger than the sum of its proper divisors (1).

10605555555593 is an equidigital number, since it uses as much as digits as its factorization.

10605555555593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63281250, while the sum is 59.

The spelling of 10605555555593 in words is "ten trillion, six hundred five billion, five hundred fifty-five million, five hundred fifty-five thousand, five hundred ninety-three".