10609126601 has 2 divisors, whose sum is σ = 10609126602. Its totient is φ = 10609126600.

The previous prime is 10609126543. The next prime is 10609126603. The reversal of 10609126601 is 10662190601.

10609126601 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 can be written as a sum of positive squares in only one way, i.e., 7130958025 + 3478168576 = 84445^2 + 58976^2 .

It is a cyclic number.

It is not a de Polignac number, because 10609126601 - 2⁶ = 10609126537 is a prime.

It is a super-2 number, since 2×10609126601² (a number of 21 digits) contains 22 as substring.

Together with 10609126603, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10609126603) 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, 5304563300 + 5304563301.

It is an arithmetic number, because the mean of its divisors is an integer number (5304563301).

Almost surely, 2^10609126601 is an apocalyptic number.

It is an amenable number.

10609126601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10609126601 is an equidigital number, since it uses as much as digits as its factorization.

10609126601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 10609126601 in words is "ten billion, six hundred nine million, one hundred twenty-six thousand, six hundred one".