971012934528 has 512 divisors, whose sum is σ = 3311007866880. Its totient is φ = 245248819200.

The previous prime is 971012934511. The next prime is 971012934553. The reversal of 971012934528 is 825439210179.

It is a super-2 number, since 2×971012934528² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105071988 + ... + 105081228.

It is an arithmetic number, because the mean of its divisors is an integer number (6466812240).

Almost surely, 2^971012934528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971012934528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655503933440).

971012934528 is an abundant number, since it is smaller than the sum of its proper divisors (2339994932352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

971012934528 is a wasteful number, since it uses less digits than its factorization.

971012934528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9406 (or 9394 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 971012934528 in words is "nine hundred seventy-one billion, twelve million, nine hundred thirty-four thousand, five hundred twenty-eight".