13582513 has 8 divisors (see below), whose sum is σ = 15742080. Its totient is φ = 11477760.

The previous prime is 13582501. The next prime is 13582529. The reversal of 13582513 is 31528531.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13582513 - 2⁹ = 13582001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13586513) 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 in 7 ways as a sum of consecutive naturals, for example, 13168 + ... + 14161.

It is an arithmetic number, because the mean of its divisors is an integer number (1967760).

Almost surely, 2^13582513 is an apocalyptic number.

It is an amenable number.

13582513 is a deficient number, since it is larger than the sum of its proper divisors (2159567).

13582513 is an equidigital number, since it uses as much as digits as its factorization.

13582513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27407.

The product of its digits is 3600, while the sum is 28.

The square root of 13582513 is about 3685.4461059687. The cubic root of 13582513 is about 238.5942884242.

The spelling of 13582513 in words is "thirteen million, five hundred eighty-two thousand, five hundred thirteen".