1001011083697 has 2 divisors, whose sum is σ = 1001011083698. Its totient is φ = 1001011083696.

The previous prime is 1001011083671. The next prime is 1001011083703. The reversal of 1001011083697 is 7963801101001.

1001011083697 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 930667313521 + 70343770176 = 964711^2 + 265224^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001011083697 is a prime.

It is a super-5 number, since 5×1001011083697⁵ (a number of 61 digits) contains 55555 as substring.

It is not a weakly prime, because it can be changed into another prime (1001011053697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505541848 + 500505541849.

It is an arithmetic number, because the mean of its divisors is an integer number (500505541849).

Almost surely, 2^{1001011083697} is an apocalyptic number.

It is an amenable number.

1001011083697 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001011083697 is an equidigital number, since it uses as much as digits as its factorization.

1001011083697 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 37.

Adding to 1001011083697 its reverse (7963801101001), we get a palindrome (8964812184698).

The spelling of 1001011083697 in words is "one trillion, one billion, eleven million, eighty-three thousand, six hundred ninety-seven".