65585013 has 24 divisors (see below), whose sum is σ = 95236128. Its totient is φ = 40128192.

The previous prime is 65584993. The next prime is 65585021. The reversal of 65585013 is 31058556.

It is not a de Polignac number, because 65585013 - 2⁹ = 65584501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65585083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140206 + ... + 140672.

It is an arithmetic number, because the mean of its divisors is an integer number (3968172).

Almost surely, 2^65585013 is an apocalyptic number.

It is an amenable number.

65585013 is a deficient number, since it is larger than the sum of its proper divisors (29651115).

65585013 is a wasteful number, since it uses less digits than its factorization.

65585013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 65585013 is about 8098.4574457115. The cubic root of 65585013 is about 403.2752195639.

The spelling of 65585013 in words is "sixty-five million, five hundred eighty-five thousand, thirteen".