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13125 = 3547
BaseRepresentation
bin11001101000101
3200000010
43031011
5410000
6140433
753160
oct31505
920003
1013125
119952
127719
135c88
144ad7
153d50
hex3345

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.

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

13125 = 182 + 192 + ... + 352.

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 - 22 = 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.

213125 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.

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

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 375 525 625 875 1875 2625 4375 13125