26580041 has 2 divisors, whose sum is σ = 26580042. Its totient is φ = 26580040.

The previous prime is 26580017. The next prime is 26580053. The reversal of 26580041 is 14008562.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20839225 + 5740816 = 4565^2 + 2396^2 .

It is a cyclic number.

It is not a de Polignac number, because 26580041 - 2¹⁴ = 26563657 is a prime.

It is not a weakly prime, because it can be changed into another prime (26580011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13290020 + 13290021.

It is an arithmetic number, because the mean of its divisors is an integer number (13290021).

Almost surely, 2^26580041 is an apocalyptic number.

It is an amenable number.

26580041 is a deficient number, since it is larger than the sum of its proper divisors (1).

26580041 is an equidigital number, since it uses as much as digits as its factorization.

26580041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 26580041 is about 5155.5834781332. The cubic root of 26580041 is about 298.4364616120.

The spelling of 26580041 in words is "twenty-six million, five hundred eighty thousand, forty-one".