1008628531217 has 2 divisors, whose sum is σ = 1008628531218. Its totient is φ = 1008628531216.

The previous prime is 1008628531181. The next prime is 1008628531271. The reversal of 1008628531217 is 7121358268001.

Together with next prime (1008628531271) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 832325957761 + 176302573456 = 912319^2 + 419884^2 .

It is a cyclic number.

It is not a de Polignac number, because 1008628531217 - 2¹⁰ = 1008628530193 is a prime.

It is not a weakly prime, because it can be changed into another prime (1008628531297) 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, 504314265608 + 504314265609.

It is an arithmetic number, because the mean of its divisors is an integer number (504314265609).

Almost surely, 2^{1008628531217} is an apocalyptic number.

It is an amenable number.

1008628531217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008628531217 is an equidigital number, since it uses as much as digits as its factorization.

1008628531217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 44.

The spelling of 1008628531217 in words is "one trillion, eight billion, six hundred twenty-eight million, five hundred thirty-one thousand, two hundred seventeen".