13052117 has 16 divisors (see below), whose sum is σ = 14742000. Its totient is φ = 11472384.

The previous prime is 13052113. The next prime is 13052119. The reversal of 13052117 is 71125031.

13052117 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 8 ways, for example, as 2869636 + 10182481 = 1694^2 + 3191^2 .

It is a cyclic number.

It is not a de Polignac number, because 13052117 - 2² = 13052113 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13052111) 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, 33359 + ... + 33747.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 2^13052117 is an apocalyptic number.

It is an amenable number.

13052117 is a deficient number, since it is larger than the sum of its proper divisors (1689883).

13052117 is a wasteful number, since it uses less digits than its factorization.

13052117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 13052117 is about 3612.7713738901. The cubic root of 13052117 is about 235.4472664987.

Adding to 13052117 its reverse (71125031), we get a palindrome (84177148).

The spelling of 13052117 in words is "thirteen million, fifty-two thousand, one hundred seventeen".