13032581 has 2 divisors, whose sum is σ = 13032582. Its totient is φ = 13032580.

The previous prime is 13032563. The next prime is 13032587. The reversal of 13032581 is 18523031.

13032581 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., 10956100 + 2076481 = 3310^2 + 1441^2 .

It is an emirp because it is prime and its reverse (18523031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13032581 - 2⁶ = 13032517 is a prime.

It is a super-2 number, since 2×13032581² = 339696335043122, which contains 22 as substring.

It is equal to p₈₅₁₂₃₄ and since 13032581 and 851234 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13032587) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6516290 + 6516291.

It is an arithmetic number, because the mean of its divisors is an integer number (6516291).

Almost surely, 2^13032581 is an apocalyptic number.

It is an amenable number.

13032581 is a deficient number, since it is larger than the sum of its proper divisors (1).

13032581 is an equidigital number, since it uses as much as digits as its factorization.

13032581 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 13032581 is about 3610.0666198839. The cubic root of 13032581 is about 235.3297378096.

The spelling of 13032581 in words is "thirteen million, thirty-two thousand, five hundred eighty-one".