1001004130417 has 2 divisors, whose sum is σ = 1001004130418. Its totient is φ = 1001004130416.

The previous prime is 1001004130393. The next prime is 1001004130433. The reversal of 1001004130417 is 7140314001001.

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., 564167734321 + 436836396096 = 751111^2 + 660936^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001004130417 is a prime.

It is a super-2 number, since 2×1001004130417² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001004130457) 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, 500502065208 + 500502065209.

It is an arithmetic number, because the mean of its divisors is an integer number (500502065209).

Almost surely, 2^{1001004130417} is an apocalyptic number.

It is an amenable number.

1001004130417 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001004130417 is an equidigital number, since it uses as much as digits as its factorization.

1001004130417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 1001004130417 its reverse (7140314001001), we get a palindrome (8141318131418).

The spelling of 1001004130417 in words is "one trillion, one billion, four million, one hundred thirty thousand, four hundred seventeen".