13585325 has 12 divisors (see below), whose sum is σ = 18142068. Its totient is φ = 10032000.

The previous prime is 13585321. The next prime is 13585333. The reversal of 13585325 is 52358531.

It can be written as a sum of positive squares in 6 ways, for example, as 5621641 + 7963684 = 2371^2 + 2822^2 .

It is not a de Polignac number, because 13585325 - 2² = 13585321 is a prime.

It is a super-2 number, since 2×13585325² = 369122110711250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13585291 and 13585300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13585321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20576 + ... + 21225.

It is an arithmetic number, because the mean of its divisors is an integer number (1511839).

Almost surely, 2^13585325 is an apocalyptic number.

It is an amenable number.

13585325 is a deficient number, since it is larger than the sum of its proper divisors (4556743).

13585325 is a wasteful number, since it uses less digits than its factorization.

13585325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41824 (or 41819 counting only the distinct ones).

The product of its digits is 18000, while the sum is 32.

The square root of 13585325 is about 3685.8275868521. The cubic root of 13585325 is about 238.6107527521.

The spelling of 13585325 in words is "thirteen million, five hundred eighty-five thousand, three hundred twenty-five".