1680517135 has 16 divisors (see below), whose sum is σ = 2224674720. Its totient is φ = 1208458240.

The previous prime is 1680517127. The next prime is 1680517141. The reversal of 1680517135 is 5317150861.

It is not a de Polignac number, because 1680517135 - 2³ = 1680517127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1680517094 and 1680517103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166762 + ... + 176551.

It is an arithmetic number, because the mean of its divisors is an integer number (139042170).

Almost surely, 2^1680517135 is an apocalyptic number.

1680517135 is a deficient number, since it is larger than the sum of its proper divisors (544157585).

1680517135 is a wasteful number, since it uses less digits than its factorization.

1680517135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343418.

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 1680517135 is about 40994.1109795053. The cubic root of 1680517135 is about 1188.9063546297.

Adding to 1680517135 its reverse (5317150861), we get a palindrome (6997667996).

It can be divided in two parts, 1680 and 517135, that added together give a palindrome (518815).

The spelling of 1680517135 in words is "one billion, six hundred eighty million, five hundred seventeen thousand, one hundred thirty-five".