973079568001 has 2 divisors, whose sum is σ = 973079568002. Its totient is φ = 973079568000.

The previous prime is 973079567983. The next prime is 973079568007. The reversal of 973079568001 is 100865970379.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 542507375601 + 430572192400 = 736551^2 + 656180^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-973079568001 is a prime.

It is a super-3 number, since 3×973079568001³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (973079568007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486539784000 + 486539784001.

It is an arithmetic number, because the mean of its divisors is an integer number (486539784001).

Almost surely, 2^973079568001 is an apocalyptic number.

It is an amenable number.

973079568001 is a deficient number, since it is larger than the sum of its proper divisors (1).

973079568001 is an equidigital number, since it uses as much as digits as its factorization.

973079568001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2857680, while the sum is 55.

The spelling of 973079568001 in words is "nine hundred seventy-three billion, seventy-nine million, five hundred sixty-eight thousand, one".