1006512302713 has 2 divisors, whose sum is σ = 1006512302714. Its totient is φ = 1006512302712.

The previous prime is 1006512302611. The next prime is 1006512302749. The reversal of 1006512302713 is 3172032156001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 615270809664 + 391241493049 = 784392^2 + 625493^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006512302713 - 2²⁹ = 1005975431801 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006512302113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503256151356 + 503256151357.

It is an arithmetic number, because the mean of its divisors is an integer number (503256151357).

Almost surely, 2^{1006512302713} is an apocalyptic number.

It is an amenable number.

1006512302713 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006512302713 is an equidigital number, since it uses as much as digits as its factorization.

1006512302713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 31.

Adding to 1006512302713 its reverse (3172032156001), we get a palindrome (4178544458714).

The spelling of 1006512302713 in words is "one trillion, six billion, five hundred twelve million, three hundred two thousand, seven hundred thirteen".