13117540 has 48 divisors (see below), whose sum is σ = 29910384. Its totient is φ = 4812800.

The previous prime is 13117519. The next prime is 13117547. The reversal of 13117540 is 4571131.

13117540 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 8 ways, for example, as 272484 + 12845056 = 522^2 + 3584^2 .

It is not an unprimeable number, because it can be changed into a prime (13117547) 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, 13470 + ... + 14410.

It is an arithmetic number, because the mean of its divisors is an integer number (623133).

Almost surely, 2^13117540 is an apocalyptic number.

13117540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13117540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14955192).

13117540 is an abundant number, since it is smaller than the sum of its proper divisors (16792844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13117540 is a wasteful number, since it uses less digits than its factorization.

13117540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 13117540 is about 3621.8144623931. The cubic root of 13117540 is about 235.8399997561.

Adding to 13117540 its reverse (4571131), we get a palindrome (17688671).

It can be divided in two parts, 131 and 17540, that added together give a palindrome (17671).

The spelling of 13117540 in words is "thirteen million, one hundred seventeen thousand, five hundred forty".