11515000 has 120 divisors (see below), whose sum is σ = 32052240. Its totient is φ = 3864000.

The previous prime is 11514991. The next prime is 11515003. The reversal of 11515000 is 51511.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11515003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 244977 + ... + 245023.

It is an arithmetic number, because the mean of its divisors is an integer number (267102).

Almost surely, 2^11515000 is an apocalyptic number.

11515000 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 11515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16026120).

11515000 is an abundant number, since it is smaller than the sum of its proper divisors (20537240).

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

11515000 is an equidigital number, since it uses as much as digits as its factorization.

11515000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 11515000 is about 3393.3759001914. The cubic root of 11515000 is about 225.8159673409.

Adding to 11515000 its reverse (51511), we get a palindrome (11566511).

The spelling of 11515000 in words is "eleven million, five hundred fifteen thousand".