1680001313 has 2 divisors, whose sum is σ = 1680001314. Its totient is φ = 1680001312.

The previous prime is 1680001303. The next prime is 1680001331. The reversal of 1680001313 is 3131000861.

Together with next prime (1680001331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1596242209 + 83759104 = 39953^2 + 9152^2 .

It is a cyclic number.

It is not a de Polignac number, because 1680001313 - 2¹⁸ = 1679739169 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1680001303) 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 as a sum of consecutive naturals, namely, 840000656 + 840000657.

It is an arithmetic number, because the mean of its divisors is an integer number (840000657).

Almost surely, 2^1680001313 is an apocalyptic number.

It is an amenable number.

1680001313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1680001313 is an equidigital number, since it uses as much as digits as its factorization.

1680001313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1680001313 is about 40987.8190807952. The cubic root of 1680001313 is about 1188.7847002497.

The spelling of 1680001313 in words is "one billion, six hundred eighty million, one thousand, three hundred thirteen".