10634848135577 has 2 divisors, whose sum is σ = 10634848135578. Its totient is φ = 10634848135576.

The previous prime is 10634848135543. The next prime is 10634848135603. The reversal of 10634848135577 is 77553184843601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10632973158976 + 1874976601 = 3260824^2 + 43301^2 .

It is an emirp because it is prime and its reverse (77553184843601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10634848135577 is a prime.

It is a super-2 number, since 2×10634848135577² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10634848135517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5317424067788 + 5317424067789.

It is an arithmetic number, because the mean of its divisors is an integer number (5317424067789).

Almost surely, 2^{10634848135577} is an apocalyptic number.

It is an amenable number.

10634848135577 is a deficient number, since it is larger than the sum of its proper divisors (1).

10634848135577 is an equidigital number, since it uses as much as digits as its factorization.

10634848135577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67737600, while the sum is 62.

The spelling of 10634848135577 in words is "ten trillion, six hundred thirty-four billion, eight hundred forty-eight million, one hundred thirty-five thousand, five hundred seventy-seven".