1026634017041 has 2 divisors, whose sum is σ = 1026634017042. Its totient is φ = 1026634017040.

The previous prime is 1026634017001. The next prime is 1026634017077. The reversal of 1026634017041 is 1407104366201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 991028214016 + 35605803025 = 995504^2 + 188695^2 .

It is a cyclic number.

It is not a de Polignac number, because 1026634017041 - 2⁶ = 1026634016977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1026634016992 and 1026634017010.

It is not a weakly prime, because it can be changed into another prime (1026634017001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 513317008520 + 513317008521.

It is an arithmetic number, because the mean of its divisors is an integer number (513317008521).

Almost surely, 2^{1026634017041} is an apocalyptic number.

It is an amenable number.

1026634017041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1026634017041 is an equidigital number, since it uses as much as digits as its factorization.

1026634017041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 1026634017041 in words is "one trillion, twenty-six billion, six hundred thirty-four million, seventeen thousand, forty-one".