10589676133 has 2 divisors, whose sum is σ = 10589676134. Its totient is φ = 10589676132.

The previous prime is 10589676007. The next prime is 10589676157. The reversal of 10589676133 is 33167698501.

10589676133 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., 10525323649 + 64352484 = 102593^2 + 8022^2 .

It is a cyclic number.

It is not a de Polignac number, because 10589676133 - 2¹³ = 10589667941 is a prime.

It is a super-2 number, since 2×10589676133² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10589676233) 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, 5294838066 + 5294838067.

It is an arithmetic number, because the mean of its divisors is an integer number (5294838067).

Almost surely, 2^10589676133 is an apocalyptic number.

It is an amenable number.

10589676133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10589676133 is an equidigital number, since it uses as much as digits as its factorization.

10589676133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 10589676133 in words is "ten billion, five hundred eighty-nine million, six hundred seventy-six thousand, one hundred thirty-three".