13258000 has 80 divisors (see below), whose sum is σ = 36676224. Its totient is φ = 4540800.

The previous prime is 13257971. The next prime is 13258031. The reversal of 13258000 is 85231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13527 + ... + 14473.

Almost surely, 2^13258000 is an apocalyptic number.

13258000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338112).

13258000 is an abundant number, since it is smaller than the sum of its proper divisors (23418224).

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

13258000 is an equidigital number, since it uses as much as digits as its factorization.

13258000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 13258000 is about 3641.1536633325. The cubic root of 13258000 is about 236.6787888609.

The spelling of 13258000 in words is "thirteen million, two hundred fifty-eight thousand".