1001381909257 has 2 divisors, whose sum is σ = 1001381909258. Its totient is φ = 1001381909256.

The previous prime is 1001381909219. The next prime is 1001381909261. The reversal of 1001381909257 is 7529091831001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 970626921616 + 30754987641 = 985204^2 + 175371^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001381909257 - 2²³ = 1001373520649 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001381909207) 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, 500690954628 + 500690954629.

It is an arithmetic number, because the mean of its divisors is an integer number (500690954629).

Almost surely, 2^{1001381909257} is an apocalyptic number.

It is an amenable number.

1001381909257 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001381909257 is an equidigital number, since it uses as much as digits as its factorization.

1001381909257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 46.

The spelling of 1001381909257 in words is "one trillion, one billion, three hundred eighty-one million, nine hundred nine thousand, two hundred fifty-seven".