11509125 has 32 divisors (see below), whose sum is σ = 19588608. Its totient is φ = 5998400.

The previous prime is 11509111. The next prime is 11509129. The reversal of 11509125 is 52190511.

It is not a de Polignac number, because 11509125 - 2⁷ = 11508997 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11509095 and 11509104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11509129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17299 + ... + 17951.

It is an arithmetic number, because the mean of its divisors is an integer number (612144).

Almost surely, 2^11509125 is an apocalyptic number.

11509125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11509125 is the 1959-th octagonal number.

It is an amenable number.

11509125 is a deficient number, since it is larger than the sum of its proper divisors (8079483).

11509125 is an equidigital number, since it uses as much as digits as its factorization.

11509125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 24.

The square root of 11509125 is about 3392.5101326304. The cubic root of 11509125 is about 225.7775567317. Note that the first 3 decimals are identical.

Adding to 11509125 its reverse (52190511), we get a palindrome (63699636).

The spelling of 11509125 in words is "eleven million, five hundred nine thousand, one hundred twenty-five".