26553615117241 has 16 divisors (see below), whose sum is σ = 27425588374800. Its totient is φ = 25693153669120.

The previous prime is 26553615117221. The next prime is 26553615117247. The reversal of 26553615117241 is 14271151635562.

It can be written as a sum of positive squares in 8 ways, for example, as 4010823311616 + 22542791805625 = 2002704^2 + 4747925^2 .

It is a cyclic number.

It is not a de Polignac number, because 26553615117241 - 2⁹ = 26553615116729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26553615117247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2625016 + ... + 7745833.

It is an arithmetic number, because the mean of its divisors is an integer number (1714099273425).

Almost surely, 2^{26553615117241} is an apocalyptic number.

It is an amenable number.

26553615117241 is a deficient number, since it is larger than the sum of its proper divisors (871973257559).

26553615117241 is a wasteful number, since it uses less digits than its factorization.

26553615117241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10371404.

The product of its digits is 1512000, while the sum is 49.

The spelling of 26553615117241 in words is "twenty-six trillion, five hundred fifty-three billion, six hundred fifteen million, one hundred seventeen thousand, two hundred forty-one".