65305953 has 16 divisors (see below), whose sum is σ = 97451200. Its totient is φ = 43221600.

The previous prime is 65305931. The next prime is 65305963. The reversal of 65305953 is 35950356.

65305953 is a `hidden beast` number, since 65 + 3 + 0 + 595 + 3 = 666.

It is not a de Polignac number, because 65305953 - 2⁵ = 65305921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65305963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4948 + ... + 12453.

It is an arithmetic number, because the mean of its divisors is an integer number (6090700).

Almost surely, 2^65305953 is an apocalyptic number.

It is an amenable number.

65305953 is a deficient number, since it is larger than the sum of its proper divisors (32145247).

65305953 is a wasteful number, since it uses less digits than its factorization.

65305953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17549 (or 17543 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

The square root of 65305953 is about 8081.2098722902. The cubic root of 65305953 is about 402.7024363932.

The spelling of 65305953 in words is "sixty-five million, three hundred five thousand, nine hundred fifty-three".