11532500 has 60 divisors (see below), whose sum is σ = 28865760. Its totient is φ = 3948000.

The previous prime is 11532481. The next prime is 11532539. The reversal of 11532500 is 523511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17171 + ... + 17829.

It is an arithmetic number, because the mean of its divisors is an integer number (481096).

Almost surely, 2^11532500 is an apocalyptic number.

11532500 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 11532500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14432880).

11532500 is an abundant number, since it is smaller than the sum of its proper divisors (17333260).

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

11532500 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (11532499) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (690).

11532500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 11532500 is about 3395.9534743574. The cubic root of 11532500 is about 225.9303045591.

The spelling of 11532500 in words is "eleven million, five hundred thirty-two thousand, five hundred".