8317519448121 has 81 divisors (see below), whose sum is σ = 13203140132871. Its totient is φ = 5043373860096.

The previous prime is 8317519448099. The next prime is 8317519448131. The reversal of 8317519448121 is 1218449157138.

The square root of 8317519448121 is 2884011.

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

8317519448121 is a `hidden beast` number, since 8 + 3 + 1 + 7 + 51 + 94 + 481 + 21 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 7689723111225 + 627796336896 = 2773035^2 + 792336^2 .

It is not a de Polignac number, because 8317519448121 - 2⁴¹ = 6118496192569 is a prime.

It is a super-2 number, since 2×8317519448121² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8317519448131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8210778811 + ... + 8210779823.

Almost surely, 2^{8317519448121} is an apocalyptic number.

8317519448121 is the 2884011-st square number.

8317519448121 is the 1442006-th centered octagonal number.

It is an amenable number.

8317519448121 is a deficient number, since it is larger than the sum of its proper divisors (4885620684750).

8317519448121 is an equidigital number, since it uses as much as digits as its factorization.

8317519448121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 1102 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 8317519448121 in words is "eight trillion, three hundred seventeen billion, five hundred nineteen million, four hundred forty-eight thousand, one hundred twenty-one".