52005845985 has 96 divisors (see below), whose sum is σ = 88873531776. Its totient is φ = 25948339200.

The previous prime is 52005845959. The next prime is 52005846017. The reversal of 52005845985 is 58954850025.

It is a happy number.

It is not a de Polignac number, because 52005845985 - 2¹⁵ = 52005813217 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149872582 + ... + 149872928.

It is an arithmetic number, because the mean of its divisors is an integer number (925765956).

Almost surely, 2^52005845985 is an apocalyptic number.

It is an amenable number.

52005845985 is a deficient number, since it is larger than the sum of its proper divisors (36867685791).

52005845985 is a wasteful number, since it uses less digits than its factorization.

52005845985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 51.

The spelling of 52005845985 in words is "fifty-two billion, five million, eight hundred forty-five thousand, nine hundred eighty-five".