13258200 has 96 divisors (see below), whose sum is σ = 43300800. Its totient is φ = 3346560.

The previous prime is 13258199. The next prime is 13258213. The reversal of 13258200 is 285231.

13258200 = T₁₃₀ + T₁₃₁ + ... + T₄₃₃.

13258200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10819 + ... + 11981.

It is an arithmetic number, because the mean of its divisors is an integer number (451050).

Almost surely, 2^13258200 is an apocalyptic number.

13258200 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 13258200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21650400).

13258200 is an abundant number, since it is smaller than the sum of its proper divisors (30042600).

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

13258200 is a wasteful number, since it uses less digits than its factorization.

13258200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 13258200 is about 3641.1811270520. The cubic root of 13258200 is about 236.6799789730.

The spelling of 13258200 in words is "thirteen million, two hundred fifty-eight thousand, two hundred".