13580225 has 12 divisors (see below), whose sum is σ = 17251500. Its totient is φ = 10598400.

The previous prime is 13580183. The next prime is 13580233. The reversal of 13580225 is 52208531.

It can be written as a sum of positive squares in 6 ways, for example, as 3701776 + 9878449 = 1924^2 + 3143^2 .

It is not a de Polignac number, because 13580225 - 2¹⁰ = 13579201 is a prime.

It is a super-2 number, since 2×13580225² = 368845022101250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13580194 and 13580203.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5600 + ... + 7649.

It is an arithmetic number, because the mean of its divisors is an integer number (1437625).

Almost surely, 2^13580225 is an apocalyptic number.

It is an amenable number.

13580225 is a deficient number, since it is larger than the sum of its proper divisors (3671275).

13580225 is a wasteful number, since it uses less digits than its factorization.

13580225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13300 (or 13295 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 13580225 is about 3685.1356827124. The cubic root of 13580225 is about 238.5808904521.

Adding to 13580225 its reverse (52208531), we get a palindrome (65788756).

The spelling of 13580225 in words is "thirteen million, five hundred eighty thousand, two hundred twenty-five".