1042113006577 has 2 divisors, whose sum is σ = 1042113006578. Its totient is φ = 1042113006576.

The previous prime is 1042113006499. The next prime is 1042113006593. The reversal of 1042113006577 is 7756003112401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1036535754816 + 5577251761 = 1018104^2 + 74681^2 .

It is a cyclic number.

It is not a de Polignac number, because 1042113006577 - 2¹¹ = 1042113004529 is a prime.

It is not a weakly prime, because it can be changed into another prime (1042113001577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 521056503288 + 521056503289.

It is an arithmetic number, because the mean of its divisors is an integer number (521056503289).

Almost surely, 2^{1042113006577} is an apocalyptic number.

It is an amenable number.

1042113006577 is a deficient number, since it is larger than the sum of its proper divisors (1).

1042113006577 is an equidigital number, since it uses as much as digits as its factorization.

1042113006577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280, while the sum is 37.

Adding to 1042113006577 its reverse (7756003112401), we get a palindrome (8798116118978).

The spelling of 1042113006577 in words is "one trillion, forty-two billion, one hundred thirteen million, six thousand, five hundred seventy-seven".