1005415513217 has 2 divisors, whose sum is σ = 1005415513218. Its totient is φ = 1005415513216.

The previous prime is 1005415513133. The next prime is 1005415513261. The reversal of 1005415513217 is 7123155145001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1005415311616 + 201601 = 1002704^2 + 449^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005415513217 - 2¹⁰ = 1005415512193 is a prime.

It is not a weakly prime, because it can be changed into another prime (1005415533217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502707756608 + 502707756609.

It is an arithmetic number, because the mean of its divisors is an integer number (502707756609).

Almost surely, 2^{1005415513217} is an apocalyptic number.

It is an amenable number.

1005415513217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005415513217 is an equidigital number, since it uses as much as digits as its factorization.

1005415513217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21000, while the sum is 35.

The spelling of 1005415513217 in words is "one trillion, five billion, four hundred fifteen million, five hundred thirteen thousand, two hundred seventeen".