25801 has 2 divisors, whose sum is σ = 25802. Its totient is φ = 25800.

The previous prime is 25799. The next prime is 25819. The reversal of 25801 is 10852.

It is a happy number.

25801 is nontrivially palindromic in base 12.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22201 + 3600 = 149^2 + 60^2 .

It is a cyclic number.

It is not a de Polignac number, because 25801 - 2¹ = 25799 is a prime.

Together with 25799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (25841) 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 as a sum of consecutive naturals, namely, 12900 + 12901.

It is an arithmetic number, because the mean of its divisors is an integer number (12901).

2²⁵⁸⁰¹ is an apocalyptic number.

It is an amenable number.

25801 is a deficient number, since it is larger than the sum of its proper divisors (1).

25801 is an equidigital number, since it uses as much as digits as its factorization.

25801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 25801 is about 160.6268968760. The cubic root of 25801 is about 29.5491853994.

The spelling of 25801 in words is "twenty-five thousand, eight hundred one".