1041275864593 has 2 divisors, whose sum is σ = 1041275864594. Its totient is φ = 1041275864592.

The previous prime is 1041275864569. The next prime is 1041275864597. The reversal of 1041275864593 is 3954685721401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 881058190609 + 160217673984 = 938647^2 + 400272^2 .

It is a cyclic number.

It is not a de Polignac number, because 1041275864593 - 2²⁵ = 1041242310161 is a prime.

It is not a weakly prime, because it can be changed into another prime (1041275864597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 520637932296 + 520637932297.

It is an arithmetic number, because the mean of its divisors is an integer number (520637932297).

It is a 1-persistent number, because it is pandigital, but 2⋅1041275864593 = 2082551729186 is not.

Almost surely, 2^{1041275864593} is an apocalyptic number.

It is an amenable number.

1041275864593 is a deficient number, since it is larger than the sum of its proper divisors (1).

1041275864593 is an equidigital number, since it uses as much as digits as its factorization.

1041275864593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 1041275864593 in words is "one trillion, forty-one billion, two hundred seventy-five million, eight hundred sixty-four thousand, five hundred ninety-three".