1316680516089 has 81 divisors (see below), whose sum is σ = 2061588571887. Its totient is φ = 809652715200.

The previous prime is 1316680516079. The next prime is 1316680516091. The reversal of 1316680516089 is 9806150866131.

The square root of 1316680516089 is 1147467.

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

1316680516089 is a `hidden beast` number, since 13 + 16 + 6 + 8 + 0 + 5 + 1 + 608 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63445045689 + 1253235470400 = 251883^2 + 1119480^2 .

It is not a de Polignac number, because 1316680516089 - 2¹¹ = 1316680514041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1316680516079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2681630134 + ... + 2681630624.

Almost surely, 2^{1316680516089} is an apocalyptic number.

1316680516089 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1316680516089 is the 1147467-th square number.

1316680516089 is the 573734-th centered octagonal number.

It is an amenable number.

1316680516089 is a deficient number, since it is larger than the sum of its proper divisors (744908055798).

1316680516089 is an frugal number, since it uses more digits than its factorization.

1316680516089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1316680516089 in words is "one trillion, three hundred sixteen billion, six hundred eighty million, five hundred sixteen thousand, eighty-nine".