1680180961 has 2 divisors, whose sum is σ = 1680180962. Its totient is φ = 1680180960.

The previous prime is 1680180959. The next prime is 1680180967. The reversal of 1680180961 is 1690810861.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1131918736 + 548262225 = 33644^2 + 23415^2 .

It is a cyclic number.

It is not a de Polignac number, because 1680180961 - 2¹ = 1680180959 is a prime.

Together with 1680180959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1680180967) by changing a digit.

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 as a sum of consecutive naturals, namely, 840090480 + 840090481.

It is an arithmetic number, because the mean of its divisors is an integer number (840090481).

Almost surely, 2^1680180961 is an apocalyptic number.

It is an amenable number.

1680180961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1680180961 is an equidigital number, since it uses as much as digits as its factorization.

1680180961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 40.

The square root of 1680180961 is about 40990.0105025603. The cubic root of 1680180961 is about 1188.8270722765.

The spelling of 1680180961 in words is "one billion, six hundred eighty million, one hundred eighty thousand, nine hundred sixty-one".