26153 has 2 divisors, whose sum is σ = 26154. Its totient is φ = 26152.

The previous prime is 26141. The next prime is 26161. The reversal of 26153 is 35162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17689 + 8464 = 133^2 + 92^2 .

It is a cyclic number.

It is not a de Polignac number, because 26153 - 2¹⁴ = 9769 is a prime.

It is a Chen prime.

It is a d-powerful number, because it can be written as 2¹¹ + 6⁴ + 1 + 5⁵ + 3⁹ .

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 26153.

It is not a weakly prime, because it can be changed into another prime (26113) 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, 13076 + 13077.

It is an arithmetic number, because the mean of its divisors is an integer number (13077).

2²⁶¹⁵³ is an apocalyptic number.

It is an amenable number.

26153 is a deficient number, since it is larger than the sum of its proper divisors (1).

26153 is an equidigital number, since it uses as much as digits as its factorization.

26153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 180, while the sum is 17.

The square root of 26153 is about 161.7188919082. The cubic root of 26153 is about 29.6829575691.

Subtracting 26153 from its reverse (35162), we obtain a palindrome (9009).

The spelling of 26153 in words is "twenty-six thousand, one hundred fifty-three".