971328512 has 176 divisors, whose sum is σ = 2465046528. Its totient is φ = 371589120.

The previous prime is 971328503. The next prime is 971328517. The reversal of 971328512 is 215823179.

It is a tau number, because it is divible by the number of its divisors (176).

It is not an unprimeable number, because it can be changed into a prime (971328517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7648193 + ... + 7648319.

Almost surely, 2^971328512 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 971328512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232523264).

971328512 is an abundant number, since it is smaller than the sum of its proper divisors (1493718016).

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

971328512 is a wasteful number, since it uses less digits than its factorization.

971328512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 244 counting only the distinct ones).

The product of its digits is 30240, while the sum is 38.

The square root of 971328512 is about 31166.1436818866. The cubic root of 971328512 is about 990.3500146589.

The spelling of 971328512 in words is "nine hundred seventy-one million, three hundred twenty-eight thousand, five hundred twelve".