971133382521 has 27 divisors (see below), whose sum is σ = 1409230428879. Its totient is φ = 644444191872.

The previous prime is 971133382511. The next prime is 971133382523. The reversal of 971133382521 is 125283331179.

The square root of 971133382521 is 985461.

It is a perfect power (a square), and thus also a powerful number.

971133382521 is a `hidden beast` number, since 9 + 7 + 1 + 13 + 33 + 82 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 397418028921 + 573715353600 = 630411^2 + 757440^2 .

It is not a de Polignac number, because 971133382521 - 2³¹ = 968985898873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (971133382523) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 777528105 + ... + 777529353.

Almost surely, 2^971133382521 is an apocalyptic number.

971133382521 is the 985461-st square number.

971133382521 is the 492731-st centered octagonal number.

It is an amenable number.

971133382521 is a deficient number, since it is larger than the sum of its proper divisors (438097046358).

971133382521 is an frugal number, since it uses more digits than its factorization.

971133382521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 1515 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 971133382521 in words is "nine hundred seventy-one billion, one hundred thirty-three million, three hundred eighty-two thousand, five hundred twenty-one".