13058032 has 40 divisors (see below), whose sum is σ = 27682256. Its totient is φ = 5930496.

The previous prime is 13058029. The next prime is 13058063. The reversal of 13058032 is 23085031.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13057994 and 13058012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13468 + ... + 14404.

Almost surely, 2^13058032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13058032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13841128).

13058032 is an abundant number, since it is smaller than the sum of its proper divisors (14624224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13058032 is a wasteful number, since it uses less digits than its factorization.

13058032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 13058032 is about 3613.5899047900. The cubic root of 13058032 is about 235.4828280416.

The spelling of 13058032 in words is "thirteen million, fifty-eight thousand, thirty-two".