1680489617569 has 27 divisors (see below), whose sum is σ = 1974116185587. Its totient is φ = 1426364786448.

The previous prime is 1680489617561. The next prime is 1680489617579. The reversal of 1680489617569 is 9657169840861.

It is a happy number.

The square root of 1680489617569 is 1296337.

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

It can be written as a sum of positive squares in only one way, i.e., 1171293201169 + 509196416400 = 1082263^2 + 713580^2 .

It is not a de Polignac number, because 1680489617569 - 2³ = 1680489617561 is a prime.

It is a super-3 number, since 3×1680489617569³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1680489617498 and 1680489617507.

It is not an unprimeable number, because it can be changed into a prime (1680489617561) 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 26 ways as a sum of consecutive naturals, for example, 989104282 + ... + 989105980.

It is an arithmetic number, because the mean of its divisors is an integer number (73115414281).

Almost surely, 2^{1680489617569} is an apocalyptic number.

1680489617569 is the 1296337-th square number.

1680489617569 is the 648169-th centered octagonal number.

It is an amenable number.

1680489617569 is a deficient number, since it is larger than the sum of its proper divisors (293626568018).

1680489617569 is an frugal number, since it uses more digits than its factorization.

1680489617569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 70.

The spelling of 1680489617569 in words is "one trillion, six hundred eighty billion, four hundred eighty-nine million, six hundred seventeen thousand, five hundred sixty-nine".