13115520 has 320 divisors, whose sum is σ = 53317440. Its totient is φ = 3041280.

The previous prime is 13115513. The next prime is 13115527. The reversal of 13115520 is 2551131.

13115520 is a `hidden beast` number, since 131 + 15 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (13115513) and next prime (13115527).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13115493 and 13115502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13115527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 570229 + ... + 570251.

It is an arithmetic number, because the mean of its divisors is an integer number (166617).

Almost surely, 2^13115520 is an apocalyptic number.

13115520 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 13115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26658720).

13115520 is an abundant number, since it is smaller than the sum of its proper divisors (40201920).

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

13115520 is a wasteful number, since it uses less digits than its factorization.

13115520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 13115520 is about 3621.5355859083. The cubic root of 13115520 is about 235.8278932875.

Adding to 13115520 its reverse (2551131), we get a palindrome (15666651).

It can be divided in two parts, 131 and 15520, that added together give a palindrome (15651).

The spelling of 13115520 in words is "thirteen million, one hundred fifteen thousand, five hundred twenty".