2973177005697 has 24 divisors (see below), whose sum is σ = 4547452146120. Its totient is φ = 1865424261120.

The previous prime is 2973177005683. The next prime is 2973177005717. The reversal of 2973177005697 is 7965007713792.

2973177005697 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1075750649856 + 1897426355841 = 1037184^2 + 1377471^2 .

It is not a de Polignac number, because 2973177005697 - 2⁷ = 2973177005569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2973177205697) 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 23 ways as a sum of consecutive naturals, for example, 2447497 + ... + 3454937.

It is an arithmetic number, because the mean of its divisors is an integer number (189477172755).

Almost surely, 2^{2973177005697} is an apocalyptic number.

It is an amenable number.

2973177005697 is a deficient number, since it is larger than the sum of its proper divisors (1574275140423).

2973177005697 is a wasteful number, since it uses less digits than its factorization.

2973177005697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026753 (or 1026750 counting only the distinct ones).

The product of its (nonzero) digits is 35006580, while the sum is 63.

The spelling of 2973177005697 in words is "two trillion, nine hundred seventy-three billion, one hundred seventy-seven million, five thousand, six hundred ninety-seven".