65653625 has 16 divisors (see below), whose sum is σ = 82192656. Its totient is φ = 52358400.

The previous prime is 65653597. The next prime is 65653631. The reversal of 65653625 is 52635656.

It can be written as a sum of positive squares in 8 ways, for example, as 53114944 + 12538681 = 7288^2 + 3541^2 .

It is not a de Polignac number, because 65653625 - 2²⁴ = 48876409 is a prime.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 53519 + ... + 54731.

It is an arithmetic number, because the mean of its divisors is an integer number (5137041).

Almost surely, 2^65653625 is an apocalyptic number.

It is an amenable number.

65653625 is a deficient number, since it is larger than the sum of its proper divisors (16539031).

65653625 is a wasteful number, since it uses less digits than its factorization.

65653625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661 (or 1651 counting only the distinct ones).

The product of its digits is 162000, while the sum is 38.

The square root of 65653625 is about 8102.6924537465. The cubic root of 65653625 is about 403.4157998319.

The spelling of 65653625 in words is "sixty-five million, six hundred fifty-three thousand, six hundred twenty-five".