13125 has 20 divisors (see below), whose sum is σ = 24992. Its totient is φ = 6000.

The previous prime is 13121. The next prime is 13127. The reversal of 13125 is 52131.

13125 = 18^{2} + 19^{2} + ... + 35^{2}.

13125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13125 - 2^{2} = 13121 is a prime.

It is a Duffinian number.

Its product of digits (30) is a multiple of the sum of its prime divisors (15).

It is a Curzon number.

13125 is a lucky number.

It is a plaindrome in base 16.

It is a nialpdrome in base 5 and base 11.

It is a self number, because there is not a number *n* which added to its sum of digits gives 13125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1872 + ... + 1878.

13125 is a Friedman number, since it can be written as 21*5^(3+1), using all its digits and the basic arithmetic operations.

2^{13125} is an apocalyptic number.

13125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13125 is a deficient number, since it is larger than the sum of its proper divisors (11867).

13125 is an frugal number, since it uses more digits than its factorization.

13125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30 (or 15 counting only the distinct ones).

The product of its digits is 30, while the sum is 12.

The square root of 13125 is about 114.5643923739. The cubic root of 13125 is about 23.5884699016.

Adding to 13125 its reverse (52131), we get a palindrome (65256).

The spelling of 13125 in words is "thirteen thousand, one hundred twenty-five".

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