1002225404113 has 2 divisors, whose sum is σ = 1002225404114. Its totient is φ = 1002225404112.

The previous prime is 1002225404083. The next prime is 1002225404137. The reversal of 1002225404113 is 3114045222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 719293964544 + 282931439569 = 848112^2 + 531913^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002225404113 - 2⁹ = 1002225403601 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002225404413) 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, 501112702056 + 501112702057.

It is an arithmetic number, because the mean of its divisors is an integer number (501112702057).

Almost surely, 2^{1002225404113} is an apocalyptic number.

It is an amenable number.

1002225404113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002225404113 is an equidigital number, since it uses as much as digits as its factorization.

1002225404113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 1002225404113 in words is "one trillion, two billion, two hundred twenty-five million, four hundred four thousand, one hundred thirteen".