26653136590081 has 2 divisors, whose sum is σ = 26653136590082. Its totient is φ = 26653136590080.

The previous prime is 26653136590079. The next prime is 26653136590153. The reversal of 26653136590081 is 18009563135662.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21642881100481 + 5010255489600 = 4652191^2 + 2238360^2 .

It is a cyclic number.

It is not a de Polignac number, because 26653136590081 - 2¹ = 26653136590079 is a prime.

It is a super-2 number, since 2×26653136590081² (a number of 28 digits) contains 22 as substring.

Together with 26653136590079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (26653136590021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13326568295040 + 13326568295041.

It is an arithmetic number, because the mean of its divisors is an integer number (13326568295041).

Almost surely, 2^{26653136590081} is an apocalyptic number.

It is an amenable number.

26653136590081 is a deficient number, since it is larger than the sum of its proper divisors (1).

26653136590081 is an equidigital number, since it uses as much as digits as its factorization.

26653136590081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6998400, while the sum is 55.

The spelling of 26653136590081 in words is "twenty-six trillion, six hundred fifty-three billion, one hundred thirty-six million, five hundred ninety thousand, eighty-one".