1001000993617 has 2 divisors, whose sum is σ = 1001000993618. Its totient is φ = 1001000993616.

The previous prime is 1001000993609. The next prime is 1001000993669. The reversal of 1001000993617 is 7163990001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 533205183681 + 467795809936 = 730209^2 + 683956^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001000993617 - 2³ = 1001000993609 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001000993117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500496808 + 500500496809.

It is an arithmetic number, because the mean of its divisors is an integer number (500500496809).

Almost surely, 2^{1001000993617} is an apocalyptic number.

It is an amenable number.

1001000993617 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001000993617 is an equidigital number, since it uses as much as digits as its factorization.

1001000993617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10206, while the sum is 37.

Adding to 1001000993617 its reverse (7163990001001), we get a palindrome (8164990994618).

The spelling of 1001000993617 in words is "one trillion, one billion, nine hundred ninety-three thousand, six hundred seventeen".