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15013 is a prime number

15013 has 2 divisors, whose sum is σ = 15014. Its totient is φ = 15012.

The previous prime is 14983. The next prime is 15017. The reversal of 15013 is 31051.

15013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13924 + 1089 = 118^2 + 33^2 .

It is an emirp because it is prime and its reverse (31051) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-15013 is a prime.

It is a plaindrome in base 13 and base 15.

It is a nialpdrome in base 4 and base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15017) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7506 + 7507.

It is an arithmetic number, because the mean of its divisors is an integer number (7507).

215013 is an apocalyptic number.

It is an amenable number.

15013 is a deficient number, since it is larger than the sum of its proper divisors (1).

15013 is an equidigital number, since it uses as much as digits as its factorization.

15013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 15013 is about 122.5275479229. The cubic root of 15013 is about 24.6692432987.

Adding to 15013 its reverse (31051), we get a palindrome (46064).

The spelling of 15013 in words is "fifteen thousand, thirteen".