1680054500033 has 32 divisors (see below), whose sum is σ = 2117875710720. Its totient is φ = 1297420312320.

The previous prime is 1680054500017. The next prime is 1680054500053. The reversal of 1680054500033 is 3300054500861.

It is a cyclic number.

It is not a de Polignac number, because 1680054500033 - 2⁴ = 1680054500017 is a prime.

It is a super-2 number, since 2×1680054500033² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1680054499966 and 1680054500002.

It is not an unprimeable number, because it can be changed into a prime (1680054500053) 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 31 ways as a sum of consecutive naturals, for example, 599438 + ... + 1928583.

It is an arithmetic number, because the mean of its divisors is an integer number (66183615960).

Almost surely, 2^{1680054500033} is an apocalyptic number.

1680054500033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1680054500033 is a deficient number, since it is larger than the sum of its proper divisors (437821210687).

1680054500033 is a wasteful number, since it uses less digits than its factorization.

1680054500033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528217.

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 1680054500033 in words is "one trillion, six hundred eighty billion, fifty-four million, five hundred thousand, thirty-three".