65953125 has 84 divisors (see below), whose sum is σ = 138123232. Its totient is φ = 29700000.

The previous prime is 65953109. The next prime is 65953171. The reversal of 65953125 is 52135956.

It is not a de Polignac number, because 65953125 - 2⁴ = 65953109 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 65953125.

It is a congruent 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 83 ways as a sum of consecutive naturals, for example, 984342 + ... + 984408.

Almost surely, 2^65953125 is an apocalyptic number.

It is an amenable number.

65953125 is an abundant number, since it is smaller than the sum of its proper divisors (72170107).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65953125 is an frugal number, since it uses more digits than its factorization.

65953125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its digits is 40500, while the sum is 36.

The square root of 65953125 is about 8121.1529353904. The cubic root of 65953125 is about 404.0283061074.

The spelling of 65953125 in words is "sixty-five million, nine hundred fifty-three thousand, one hundred twenty-five".