13500369 has 6 divisors (see below), whose sum is σ = 19500546. Its totient is φ = 9000240.

The previous prime is 13500353. The next prime is 13500373. The reversal of 13500369 is 96300531.

It can be written as a sum of positive squares in only one way, i.e., 7225344 + 6275025 = 2688^2 + 2505^2 .

It is not a de Polignac number, because 13500369 - 2⁴ = 13500353 is a prime.

It is a super-2 number, since 2×13500369² = 364519926272322, which contains 22 as substring.

13500369 is a modest number, since divided by 369 gives 135 as remainder.

It is not an unprimeable number, because it can be changed into a prime (13500269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 750012 + ... + 750029.

It is an arithmetic number, because the mean of its divisors is an integer number (3250091).

Almost surely, 2^13500369 is an apocalyptic number.

It is an amenable number.

13500369 is a deficient number, since it is larger than the sum of its proper divisors (6000177).

13500369 is a wasteful number, since it uses less digits than its factorization.

13500369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500047 (or 1500044 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 13500369 is about 3674.2848283714. The cubic root of 13500369 is about 238.1123272236.

The spelling of 13500369 in words is "thirteen million, five hundred thousand, three hundred sixty-nine".