13502385 has 24 divisors (see below), whose sum is σ = 25205544. Its totient is φ = 6647040.

The previous prime is 13502383. The next prime is 13502389. The reversal of 13502385 is 58320531.

13502385 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 194481 + 13307904 = 441^2 + 3648^2 .

It is not a de Polignac number, because 13502385 - 2¹ = 13502383 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13502383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10956 + ... + 12125.

It is an arithmetic number, because the mean of its divisors is an integer number (1050231).

Almost surely, 2^13502385 is an apocalyptic number.

13502385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13502385 is a deficient number, since it is larger than the sum of its proper divisors (11703159).

13502385 is a wasteful number, since it uses less digits than its factorization.

13502385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23105 (or 23102 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 13502385 is about 3674.5591572323. The cubic root of 13502385 is about 238.1241790122.

The spelling of 13502385 in words is "thirteen million, five hundred two thousand, three hundred eighty-five".