26506312751313 has 6 divisors (see below), whose sum is σ = 38286896196354. Its totient is φ = 17670875167536.

The previous prime is 26506312751311. The next prime is 26506312751323. The reversal of 26506312751313 is 31315721360562.

26506312751313 is a `hidden beast` number, since 2 + 6 + 5 + 0 + 6 + 3 + 127 + 513 + 1 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20521552325184 + 5984760426129 = 4530072^2 + 2446377^2 .

It is not a de Polignac number, because 26506312751313 - 2¹ = 26506312751311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26506312751311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1472572930620 + ... + 1472572930637.

It is an arithmetic number, because the mean of its divisors is an integer number (6381149366059).

Almost surely, 2^{26506312751313} is an apocalyptic number.

It is an amenable number.

26506312751313 is a deficient number, since it is larger than the sum of its proper divisors (11780583445041).

26506312751313 is a wasteful number, since it uses less digits than its factorization.

26506312751313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945145861263 (or 2945145861260 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 26506312751313 in words is "twenty-six trillion, five hundred six billion, three hundred twelve million, seven hundred fifty-one thousand, three hundred thirteen".