1687593342305 has 8 divisors (see below), whose sum is σ = 2180889857832. Its totient is φ = 1246222775808.

The previous prime is 1687593342299. The next prime is 1687593342329. The reversal of 1687593342305 is 5032433957861.

It can be written as a sum of positive squares in 4 ways, for example, as 15673681 + 1687577668624 = 3959^2 + 1299068^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1687593342305 - 2¹⁰ = 1687593341281 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12981487184 + ... + 12981487313.

It is an arithmetic number, because the mean of its divisors is an integer number (272611232229).

It is a 1-persistent number, because it is pandigital, but 2⋅1687593342305 = 3375186684610 is not.

Almost surely, 2^{1687593342305} is an apocalyptic number.

It is an amenable number.

1687593342305 is a deficient number, since it is larger than the sum of its proper divisors (493296515527).

1687593342305 is a wasteful number, since it uses less digits than its factorization.

1687593342305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25962974515.

The product of its (nonzero) digits is 16329600, while the sum is 56.

The spelling of 1687593342305 in words is "one trillion, six hundred eighty-seven billion, five hundred ninety-three million, three hundred forty-two thousand, three hundred five".