10589129 has 2 divisors, whose sum is σ = 10589130. Its totient is φ = 10589128.

The previous prime is 10589107. The next prime is 10589167. The reversal of 10589129 is 92198501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10465225 + 123904 = 3235^2 + 352^2 .

It is a cyclic number.

It is not a de Polignac number, because 10589129 - 2⁸ = 10588873 is a prime.

It is a super-2 number, since 2×10589129² = 224259305957282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10589329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5294564 + 5294565.

It is an arithmetic number, because the mean of its divisors is an integer number (5294565).

Almost surely, 2^10589129 is an apocalyptic number.

It is an amenable number.

10589129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10589129 is an equidigital number, since it uses as much as digits as its factorization.

10589129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 35.

The square root of 10589129 is about 3254.0941904008. The cubic root of 10589129 is about 219.5938028207.

The spelling of 10589129 in words is "ten million, five hundred eighty-nine thousand, one hundred twenty-nine".