13001589 has 24 divisors (see below), whose sum is σ = 19400472. Its totient is φ = 8386560.

The previous prime is 13001557. The next prime is 13001603. The reversal of 13001589 is 98510031.

It can be written as a sum of positive squares in 4 ways, for example, as 3802500 + 9199089 = 1950^2 + 3033^2 .

It is not a de Polignac number, because 13001589 - 2⁵ = 13001557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46129 + ... + 46409.

It is an arithmetic number, because the mean of its divisors is an integer number (808353).

Almost surely, 2^13001589 is an apocalyptic number.

It is an amenable number.

13001589 is a deficient number, since it is larger than the sum of its proper divisors (6398883).

13001589 is a wasteful number, since it uses less digits than its factorization.

13001589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 13001589 is about 3605.7716233838. The cubic root of 13001589 is about 235.1430485634.

The spelling of 13001589 in words is "thirteen million, one thousand, five hundred eighty-nine".