1680561153 has 48 divisors (see below), whose sum is σ = 2629298880. Its totient is φ = 1031052672.

The previous prime is 1680561151. The next prime is 1680561167. The reversal of 1680561153 is 3511650861.

1680561153 is a `hidden beast` number, since 1 + 6 + 80 + 561 + 15 + 3 = 666.

It is not a de Polignac number, because 1680561153 - 2¹ = 1680561151 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1680561151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 968875 + ... + 970607.

It is an arithmetic number, because the mean of its divisors is an integer number (54777060).

Almost surely, 2^1680561153 is an apocalyptic number.

It is an amenable number.

1680561153 is a deficient number, since it is larger than the sum of its proper divisors (948737727).

1680561153 is a wasteful number, since it uses less digits than its factorization.

1680561153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1680561153 is about 40994.6478579826. The cubic root of 1680561153 is about 1188.9167349310.

The spelling of 1680561153 in words is "one billion, six hundred eighty million, five hundred sixty-one thousand, one hundred fifty-three".