11513000 has 64 divisors (see below), whose sum is σ = 27939600. Its totient is φ = 4435200.

The previous prime is 11512999. The next prime is 11513003. The reversal of 11513000 is 31511.

It can be written as a sum of positive squares in 8 ways, for example, as 872356 + 10640644 = 934^2 + 3262^2 .

It is not an unprimeable number, because it can be changed into a prime (11513003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28802 + ... + 29198.

Almost surely, 2^11513000 is an apocalyptic number.

11513000 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 11513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13969800).

11513000 is an abundant number, since it is smaller than the sum of its proper divisors (16426600).

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

11513000 is a wasteful number, since it uses less digits than its factorization.

11513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 11513000 is about 3393.0811956097. The cubic root of 11513000 is about 225.8028928559.

Adding to 11513000 its reverse (31511), we get a palindrome (11544511).

The spelling of 11513000 in words is "eleven million, five hundred thirteen thousand".