1683737675041 has 12 divisors (see below), whose sum is σ = 1753879579452. Its totient is φ = 1616280634304.

The previous prime is 1683737675029. The next prime is 1683737675077. The reversal of 1683737675041 is 1405767373861.

It can be written as a sum of positive squares in 6 ways, for example, as 12922915041 + 1670814760000 = 113679^2 + 1292600^2 .

It is not a de Polignac number, because 1683737675041 - 2¹⁵ = 1683737642273 is a prime.

It is a super-2 number, since 2×1683737675041² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1683737675141) 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 in 11 ways as a sum of consecutive naturals, for example, 5640826 + ... + 5931811.

It is an arithmetic number, because the mean of its divisors is an integer number (146156631621).

Almost surely, 2^{1683737675041} is an apocalyptic number.

It is an amenable number.

1683737675041 is a deficient number, since it is larger than the sum of its proper divisors (70141904411).

1683737675041 is a wasteful number, since it uses less digits than its factorization.

1683737675041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11572868 (or 11572839 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 58.

The spelling of 1683737675041 in words is "one trillion, six hundred eighty-three billion, seven hundred thirty-seven million, six hundred seventy-five thousand, forty-one".