11513268 has 72 divisors (see below), whose sum is σ = 31865288. Its totient is φ = 3483648.

The previous prime is 11513263. The next prime is 11513269. The reversal of 11513268 is 86231511.

It can be written as a sum of positive squares in 4 ways, for example, as 142884 + 11370384 = 378^2 + 3372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11513263) 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, 33996 + ... + 34332.

Almost surely, 2^11513268 is an apocalyptic number.

11513268 is a gapful number since it is divisible by the number (18) 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 11513268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15932644).

11513268 is an abundant number, since it is smaller than the sum of its proper divisors (20352020).

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

11513268 is a wasteful number, since it uses less digits than its factorization.

11513268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 428 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 11513268 is about 3393.1206875088. The cubic root of 11513268 is about 225.8046449248.

Adding to 11513268 its reverse (86231511), we get a palindrome (97744779).

It can be divided in two parts, 11513 and 268, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 11513268 in words is "eleven million, five hundred thirteen thousand, two hundred sixty-eight".