65033813 has 8 divisors (see below), whose sum is σ = 70824600. Its totient is φ = 59355648.

The previous prime is 65033803. The next prime is 65033861. The reversal of 65033813 is 31833056.

65033813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1385329 + 63648484 = 1177^2 + 7978^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 65033813 - 2¹⁸ = 64771669 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65033803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26948 + ... + 29261.

It is an arithmetic number, because the mean of its divisors is an integer number (8853075).

Almost surely, 2^65033813 is an apocalyptic number.

It is an amenable number.

65033813 is a deficient number, since it is larger than the sum of its proper divisors (5790787).

65033813 is a wasteful number, since it uses less digits than its factorization.

65033813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56311.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 65033813 is about 8064.3544688958. The cubic root of 65033813 is about 402.1422831577.

Adding to 65033813 its reverse (31833056), we get a palindrome (96866869).

The spelling of 65033813 in words is "sixty-five million, thirty-three thousand, eight hundred thirteen".