1005012630217 has 2 divisors, whose sum is σ = 1005012630218. Its totient is φ = 1005012630216.

The previous prime is 1005012630169. The next prime is 1005012630239. The reversal of 1005012630217 is 7120362105001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 956906542656 + 48106087561 = 978216^2 + 219331^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005012630217 - 2²³ = 1005004241609 is a prime.

It is a super-3 number, since 3×1005012630217³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1005012630917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502506315108 + 502506315109.

It is an arithmetic number, because the mean of its divisors is an integer number (502506315109).

Almost surely, 2^{1005012630217} is an apocalyptic number.

It is an amenable number.

1005012630217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005012630217 is an equidigital number, since it uses as much as digits as its factorization.

1005012630217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 28.

Adding to 1005012630217 its reverse (7120362105001), we get a palindrome (8125374735218).

The spelling of 1005012630217 in words is "one trillion, five billion, twelve million, six hundred thirty thousand, two hundred seventeen".