1005221035513 has 2 divisors, whose sum is σ = 1005221035514. Its totient is φ = 1005221035512.

The previous prime is 1005221035459. The next prime is 1005221035531. The reversal of 1005221035513 is 3155301225001.

Together with next prime (1005221035531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 970435801449 + 34785234064 = 985107^2 + 186508^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005221035513 - 2³³ = 996631100921 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005221035573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502610517756 + 502610517757.

It is an arithmetic number, because the mean of its divisors is an integer number (502610517757).

Almost surely, 2^{1005221035513} is an apocalyptic number.

It is an amenable number.

1005221035513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005221035513 is an equidigital number, since it uses as much as digits as its factorization.

1005221035513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4500, while the sum is 28.

The spelling of 1005221035513 in words is "one trillion, five billion, two hundred twenty-one million, thirty-five thousand, five hundred thirteen".