973638968257 has 8 divisors (see below), whose sum is σ = 985496077440. Its totient is φ = 961784871600.

The previous prime is 973638968227. The next prime is 973638968261. The reversal of 973638968257 is 752869836379.

973638968257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 973638968257 - 2¹⁹ = 973638443969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 973638968257.

It is not an unprimeable number, because it can be changed into a prime (973638968227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99369 + ... + 1398982.

It is an arithmetic number, because the mean of its divisors is an integer number (123187009680).

Almost surely, 2^973638968257 is an apocalyptic number.

It is an amenable number.

973638968257 is a deficient number, since it is larger than the sum of its proper divisors (11857109183).

973638968257 is a wasteful number, since it uses less digits than its factorization.

973638968257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506263.

The product of its digits is 823011840, while the sum is 73.

The spelling of 973638968257 in words is "nine hundred seventy-three billion, six hundred thirty-eight million, nine hundred sixty-eight thousand, two hundred fifty-seven".