10610005005601 has 2 divisors, whose sum is σ = 10610005005602. Its totient is φ = 10610005005600.

The previous prime is 10610005005581. The next prime is 10610005005641. The reversal of 10610005005601 is 10650050001601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7819718733376 + 2790286272225 = 2796376^2 + 1670415^2 .

It is a cyclic number.

It is not a de Polignac number, because 10610005005601 - 2³⁵ = 10575645267233 is a prime.

It is a super-2 number, since 2×10610005005601² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10610005005641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5305002502800 + 5305002502801.

It is an arithmetic number, because the mean of its divisors is an integer number (5305002502801).

Almost surely, 2^{10610005005601} is an apocalyptic number.

It is an amenable number.

10610005005601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10610005005601 is an equidigital number, since it uses as much as digits as its factorization.

10610005005601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 10610005005601 in words is "ten trillion, six hundred ten billion, five million, five thousand, six hundred one".