25538 has 6 divisors (see below), whose sum is σ = 38649. Its totient is φ = 12656.

The previous prime is 25537. The next prime is 25541. The reversal of 25538 is 83552.

25538 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 16129 + 9409 = 127^2 + 97^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=113.

It is a Duffinian number.

25538 is an undulating number in base 15.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (25537) 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 2 ways as a sum of consecutive naturals, for example, 170 + ... + 282.

2²⁵⁵³⁸ is an apocalyptic number.

25538 is a deficient number, since it is larger than the sum of its proper divisors (13111).

25538 is an equidigital number, since it uses as much as digits as its factorization.

25538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 115 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 25538 is about 159.8061325482. The cubic root of 25538 is about 29.4484400522.

The spelling of 25538 in words is "twenty-five thousand, five hundred thirty-eight".