1997717083011 has 32 divisors (see below), whose sum is σ = 3354990464000. Its totient is φ = 1164660967584.

The previous prime is 1997717082943. The next prime is 1997717083039. The reversal of 1997717083011 is 1103807177991.

It is a happy number.

It is not a de Polignac number, because 1997717083011 - 2⁷ = 1997717082883 is a prime.

It is a super-4 number, since 4×1997717083011⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1997717083111) 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 in 31 ways as a sum of consecutive naturals, for example, 149769691 + ... + 149783028.

It is an arithmetic number, because the mean of its divisors is an integer number (104843452000).

Almost surely, 2^{1997717083011} is an apocalyptic number.

1997717083011 is a deficient number, since it is larger than the sum of its proper divisors (1357273380989).

1997717083011 is a wasteful number, since it uses less digits than its factorization.

1997717083011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299552760 (or 299552754 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 54.

The spelling of 1997717083011 in words is "one trillion, nine hundred ninety-seven billion, seven hundred seventeen million, eighty-three thousand, eleven".