1042681248601 has 2 divisors, whose sum is σ = 1042681248602. Its totient is φ = 1042681248600.

The previous prime is 1042681248571. The next prime is 1042681248629. The reversal of 1042681248601 is 1068421862401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 697083057225 + 345598191376 = 834915^2 + 587876^2 .

It is a cyclic number.

It is not a de Polignac number, because 1042681248601 - 2²⁵ = 1042647694169 is a prime.

It is not a weakly prime, because it can be changed into another prime (1042681248901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 521340624300 + 521340624301.

It is an arithmetic number, because the mean of its divisors is an integer number (521340624301).

Almost surely, 2^{1042681248601} is an apocalyptic number.

It is an amenable number.

1042681248601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1042681248601 is an equidigital number, since it uses as much as digits as its factorization.

1042681248601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147456, while the sum is 43.

The spelling of 1042681248601 in words is "one trillion, forty-two billion, six hundred eighty-one million, two hundred forty-eight thousand, six hundred one".