25013 has 2 divisors, whose sum is σ = 25014. Its totient is φ = 25012.

The previous prime is 24989. The next prime is 25031. The reversal of 25013 is 31052.

Together with next prime (25031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24964 + 49 = 158^2 + 7^2 .

It is a cyclic number.

It is not a de Polignac number, because 25013 - 2¹⁴ = 8629 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 24985 and 25003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (25033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12506 + 12507.

It is an arithmetic number, because the mean of its divisors is an integer number (12507).

2²⁵⁰¹³ is an apocalyptic number.

It is an amenable number.

25013 is a deficient number, since it is larger than the sum of its proper divisors (1).

25013 is an equidigital number, since it uses as much as digits as its factorization.

25013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 25013 is about 158.1549872751. The cubic root of 25013 is about 29.2452448013.

Adding to 25013 its reverse (31052), we get a palindrome (56065).

It can be divided in two parts, 2501 and 3, that multiplied together give a triangular number (7503 = T₁₂₂).

The spelling of 25013 in words is "twenty-five thousand, thirteen".