13500009 has 12 divisors (see below), whose sum is σ = 19542276. Its totient is φ = 8980512.

The previous prime is 13500007. The next prime is 13500037. The reversal of 13500009 is 90000531.

It can be written as a sum of positive squares in 2 ways, for example, as 3080025 + 10419984 = 1755^2 + 3228^2 .

It is not a de Polignac number, because 13500009 - 2¹ = 13500007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13499964 and 13500000.

It is not an unprimeable number, because it can be changed into a prime (13500007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3667 + ... + 6359.

It is an arithmetic number, because the mean of its divisors is an integer number (1628523).

Almost surely, 2^13500009 is an apocalyptic number.

It is an amenable number.

13500009 is a deficient number, since it is larger than the sum of its proper divisors (6042267).

13500009 is a wasteful number, since it uses less digits than its factorization.

13500009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 13500009 is about 3674.2358389194. The cubic root of 13500009 is about 238.1102107086.

The spelling of 13500009 in words is "thirteen million, five hundred thousand, nine".