13204125 has 72 divisors (see below), whose sum is σ = 26432952. Its totient is φ = 6336000.

The previous prime is 13204123. The next prime is 13204157. The reversal of 13204125 is 52140231.

It can be written as a sum of positive squares in 4 ways, for example, as 736164 + 12467961 = 858^2 + 3531^2 .

It is not a de Polignac number, because 13204125 - 2¹ = 13204123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13204098 and 13204107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13204123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136077 + ... + 136173.

It is a vampire number, since it can be written as 3201 ⋅ 4125 (with its own digits).

Almost surely, 2^13204125 is an apocalyptic number.

13204125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13204125 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

13204125 is a wasteful number, since it uses less digits than its factorization.

13204125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13204125 is about 3633.7480650150. The cubic root of 13204125 is about 236.3577655660.

Adding to 13204125 its reverse (52140231), we get a palindrome (65344356).

It can be divided in two parts, 1320 and 4125, that added together give a palindrome (5445).

The spelling of 13204125 in words is "thirteen million, two hundred four thousand, one hundred twenty-five".