1005251643317 has 2 divisors, whose sum is σ = 1005251643318. Its totient is φ = 1005251643316.

The previous prime is 1005251643311. The next prime is 1005251643337. The reversal of 1005251643317 is 7133461525001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 962516004241 + 42735639076 = 981079^2 + 206726^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005251643317 - 2¹⁰ = 1005251642293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005251643311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502625821658 + 502625821659.

It is an arithmetic number, because the mean of its divisors is an integer number (502625821659).

Almost surely, 2^{1005251643317} is an apocalyptic number.

It is an amenable number.

1005251643317 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005251643317 is an equidigital number, since it uses as much as digits as its factorization.

1005251643317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 1005251643317 in words is "one trillion, five billion, two hundred fifty-one million, six hundred forty-three thousand, three hundred seventeen".