13526163 has 32 divisors (see below), whose sum is σ = 23308800. Its totient is φ = 7591968.

The previous prime is 13526153. The next prime is 13526179. The reversal of 13526163 is 36162531.

13526163 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13526163 - 2⁸ = 13525907 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13526153) 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, 10545 + ... + 11757.

It is an arithmetic number, because the mean of its divisors is an integer number (728400).

Almost surely, 2^13526163 is an apocalyptic number.

13526163 is a deficient number, since it is larger than the sum of its proper divisors (9782637).

13526163 is a wasteful number, since it uses less digits than its factorization.

13526163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1282 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 13526163 is about 3677.7932242039. The cubic root of 13526163 is about 238.2638776968.

Adding to 13526163 its reverse (36162531), we get a palindrome (49688694).

It can be divided in two parts, 13526 and 163, that added together give a square (13689 = 117²).

The spelling of 13526163 in words is "thirteen million, five hundred twenty-six thousand, one hundred sixty-three".