1017054717313 has 2 divisors, whose sum is σ = 1017054717314. Its totient is φ = 1017054717312.

The previous prime is 1017054717311. The next prime is 1017054717317. The reversal of 1017054717313 is 3137174507101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 797184693904 + 219870023409 = 892852^2 + 468903^2 .

It is an emirp because it is prime and its reverse (3137174507101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1017054717313 - 2¹ = 1017054717311 is a prime.

Together with 1017054717311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1017054717311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508527358656 + 508527358657.

It is an arithmetic number, because the mean of its divisors is an integer number (508527358657).

Almost surely, 2^{1017054717313} is an apocalyptic number.

It is an amenable number.

1017054717313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017054717313 is an equidigital number, since it uses as much as digits as its factorization.

1017054717313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61740, while the sum is 40.

The spelling of 1017054717313 in words is "one trillion, seventeen billion, fifty-four million, seven hundred seventeen thousand, three hundred thirteen".