1006315556401 has 2 divisors, whose sum is σ = 1006315556402. Its totient is φ = 1006315556400.

The previous prime is 1006315556329. The next prime is 1006315556413. The reversal of 1006315556401 is 1046555136001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 735031875600 + 271283680801 = 857340^2 + 520849^2 .

It is an emirp because it is prime and its reverse (1046555136001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006315556401 - 2²⁵ = 1006282001969 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006315551401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503157778200 + 503157778201.

It is an arithmetic number, because the mean of its divisors is an integer number (503157778201).

Almost surely, 2^{1006315556401} is an apocalyptic number.

It is an amenable number.

1006315556401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006315556401 is an equidigital number, since it uses as much as digits as its factorization.

1006315556401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 1006315556401 in words is "one trillion, six billion, three hundred fifteen million, five hundred fifty-six thousand, four hundred one".