971458730801 has 48 divisors (see below), whose sum is σ = 1102312056384. Its totient is φ = 850594058496.

The previous prime is 971458730779. The next prime is 971458730843. The reversal of 971458730801 is 108037854179.

It is not a de Polignac number, because 971458730801 - 2¹⁴ = 971458714417 is a prime.

It is a super-2 number, since 2×971458730801² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (971458733801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602267471 + ... + 602269083.

It is an arithmetic number, because the mean of its divisors is an integer number (22964834508).

Almost surely, 2^971458730801 is an apocalyptic number.

It is an amenable number.

971458730801 is a deficient number, since it is larger than the sum of its proper divisors (130853325583).

971458730801 is a wasteful number, since it uses less digits than its factorization.

971458730801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 53.

The spelling of 971458730801 in words is "nine hundred seventy-one billion, four hundred fifty-eight million, seven hundred thirty thousand, eight hundred one".