1685005125305 has 16 divisors (see below), whose sum is σ = 2023860193920. Its totient is φ = 1346768596992.

The previous prime is 1685005125259. The next prime is 1685005125421. The reversal of 1685005125305 is 5035215005861.

It is a cyclic number.

It is not a de Polignac number, because 1685005125305 - 2¹⁴ = 1685005108921 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27716852 + ... + 27777578.

It is an arithmetic number, because the mean of its divisors is an integer number (126491262120).

Almost surely, 2^{1685005125305} is an apocalyptic number.

It is an amenable number.

1685005125305 is a deficient number, since it is larger than the sum of its proper divisors (338855068615).

1685005125305 is a wasteful number, since it uses less digits than its factorization.

1685005125305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65728.

The product of its (nonzero) digits is 180000, while the sum is 41.

The spelling of 1685005125305 in words is "one trillion, six hundred eighty-five billion, five million, one hundred twenty-five thousand, three hundred five".