13007500 has 90 divisors (see below), whose sum is σ = 31992884. Its totient is φ = 4620000.

The previous prime is 13007483. The next prime is 13007509. The reversal of 13007500 is 570031.

13007500 is nontrivially palindromic in base 7.

13007500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13007509) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 302479 + ... + 302521.

Almost surely, 2^13007500 is an apocalyptic number.

13007500 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 13007500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15996442).

13007500 is an abundant number, since it is smaller than the sum of its proper divisors (18985384).

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

13007500 is a wasteful number, since it uses less digits than its factorization.

13007500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 13007500 is about 3606.5911883661. The cubic root of 13007500 is about 235.1786780539.

Adding to 13007500 its reverse (570031), we get a palindrome (13577531).

The spelling of 13007500 in words is "thirteen million, seven thousand, five hundred".