1680240013 has 2 divisors, whose sum is σ = 1680240014. Its totient is φ = 1680240012.

The previous prime is 1680239971. The next prime is 1680240047. The reversal of 1680240013 is 3100420861.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1567922409 + 112317604 = 39597^2 + 10598^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1680240013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1680240013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1680240613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 840120006 + 840120007.

It is an arithmetic number, because the mean of its divisors is an integer number (840120007).

Almost surely, 2^1680240013 is an apocalyptic number.

It is an amenable number.

1680240013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1680240013 is an equidigital number, since it uses as much as digits as its factorization.

1680240013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1680240013 is about 40990.7308180764. The cubic root of 1680240013 is about 1188.8409997037.

Adding to 1680240013 its reverse (3100420861), we get a palindrome (4780660874).

The spelling of 1680240013 in words is "one billion, six hundred eighty million, two hundred forty thousand, thirteen".