1271024729257 has 2 divisors, whose sum is σ = 1271024729258. Its totient is φ = 1271024729256.

The previous prime is 1271024729167. The next prime is 1271024729311. The reversal of 1271024729257 is 7529274201721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 675690576016 + 595334153241 = 822004^2 + 771579^2 .

It is an emirp because it is prime and its reverse (7529274201721) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1271024729257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1271024729257.

It is not a weakly prime, because it can be changed into another prime (1271024729957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 635512364628 + 635512364629.

It is an arithmetic number, because the mean of its divisors is an integer number (635512364629).

Almost surely, 2^{1271024729257} is an apocalyptic number.

It is an amenable number.

1271024729257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1271024729257 is an equidigital number, since it uses as much as digits as its factorization.

1271024729257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 987840, while the sum is 49.

The spelling of 1271024729257 in words is "one trillion, two hundred seventy-one billion, twenty-four million, seven hundred twenty-nine thousand, two hundred fifty-seven".