13506500 has 96 divisors (see below), whose sum is σ = 35852544. Its totient is φ = 4339200.

The previous prime is 13506481. The next prime is 13506509. The reversal of 13506500 is 560531.

13506500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13506509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59387 + ... + 59613.

It is an arithmetic number, because the mean of its divisors is an integer number (373464).

Almost surely, 2^13506500 is an apocalyptic number.

13506500 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 13506500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17926272).

13506500 is an abundant number, since it is smaller than the sum of its proper divisors (22346044).

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

13506500 is a wasteful number, since it uses less digits than its factorization.

13506500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 13506500 is about 3675.1190456909. The cubic root of 13506500 is about 238.1483668741.

The spelling of 13506500 in words is "thirteen million, five hundred six thousand, five hundred".