13500393 has 16 divisors (see below), whose sum is σ = 19046400. Its totient is φ = 8482320.

The previous prime is 13500373. The next prime is 13500419. The reversal of 13500393 is 39300531.

13500393 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13500393 - 2⁹ = 13499881 is a prime.

It is a super-2 number, since 2×13500393² = 364521222308898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13500343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13128 + ... + 14118.

It is an arithmetic number, because the mean of its divisors is an integer number (1190400).

Almost surely, 2^13500393 is an apocalyptic number.

It is an amenable number.

13500393 is a deficient number, since it is larger than the sum of its proper divisors (5546007).

13500393 is a wasteful number, since it uses less digits than its factorization.

13500393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252.

The product of its (nonzero) digits is 1215, while the sum is 24.

The square root of 13500393 is about 3674.2880943116. The cubic root of 13500393 is about 238.1124683232.

The spelling of 13500393 in words is "thirteen million, five hundred thousand, three hundred ninety-three".