11553625 has 16 divisors (see below), whose sum is σ = 15269904. Its totient is φ = 8697600.

The previous prime is 11553623. The next prime is 11553631. The reversal of 11553625 is 52635511.

11553625 = 78² + 79² + ... + 327².

It can be written as a sum of positive squares in 8 ways, for example, as 1968409 + 9585216 = 1403^2 + 3096^2 .

It is not a de Polignac number, because 11553625 - 2¹ = 11553623 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11553593 and 11553602.

It is not an unprimeable number, because it can be changed into a prime (11553623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594 + ... + 4843.

It is an arithmetic number, because the mean of its divisors is an integer number (954369).

Almost surely, 2^11553625 is an apocalyptic number.

11553625 is the 2404-th centered square number.

It is an amenable number.

11553625 is a deficient number, since it is larger than the sum of its proper divisors (3716279).

11553625 is an equidigital number, since it uses as much as digits as its factorization.

11553625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469 (or 5459 counting only the distinct ones).

The product of its digits is 4500, while the sum is 28.

The square root of 11553625 is about 3399.0623707134. The cubic root of 11553625 is about 226.0681719316.

The spelling of 11553625 in words is "eleven million, five hundred fifty-three thousand, six hundred twenty-five".