10736134095277 has 2 divisors, whose sum is σ = 10736134095278. Its totient is φ = 10736134095276.

The previous prime is 10736134095173. The next prime is 10736134095307. The reversal of 10736134095277 is 77259043163701.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10361613350916 + 374520744361 = 3218946^2 + 611981^2 .

It is a cyclic number.

It is not a de Polignac number, because 10736134095277 - 2³¹ = 10733986611629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10736134095877) 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 as a sum of consecutive naturals, namely, 5368067047638 + 5368067047639.

It is an arithmetic number, because the mean of its divisors is an integer number (5368067047639).

Almost surely, 2^{10736134095277} is an apocalyptic number.

It is an amenable number.

10736134095277 is a deficient number, since it is larger than the sum of its proper divisors (1).

10736134095277 is an equidigital number, since it uses as much as digits as its factorization.

10736134095277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6667920, while the sum is 55.

The spelling of 10736134095277 in words is "ten trillion, seven hundred thirty-six billion, one hundred thirty-four million, ninety-five thousand, two hundred seventy-seven".