1680530009601 has 8 divisors (see below), whose sum is σ = 2312987540224. Its totient is φ = 1084212909360.

The previous prime is 1680530009573. The next prime is 1680530009623. The reversal of 1680530009601 is 1069000350861.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1680530009601 - 2⁵ = 1680530009569 is a prime.

It is a super-3 number, since 3×1680530009601³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1680530009601.

It is not an unprimeable number, because it can be changed into a prime (1680530005601) 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 7 ways as a sum of consecutive naturals, for example, 9035107486 + ... + 9035107671.

It is an arithmetic number, because the mean of its divisors is an integer number (289123442528).

Almost surely, 2^{1680530009601} is an apocalyptic number.

It is an amenable number.

1680530009601 is a deficient number, since it is larger than the sum of its proper divisors (632457530623).

1680530009601 is a wasteful number, since it uses less digits than its factorization.

1680530009601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18070215191.

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 1680530009601 in words is "one trillion, six hundred eighty billion, five hundred thirty million, nine thousand, six hundred one".