65000013 has 16 divisors (see below), whose sum is σ = 95321856. Its totient is φ = 39147840.

The previous prime is 65000011. The next prime is 65000021. The reversal of 65000013 is 31000056.

It is not a de Polignac number, because 65000013 - 2¹ = 65000011 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 64999956 and 65000001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65000011) by changing a digit.

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, 15898 + ... + 19563.

It is an arithmetic number, because the mean of its divisors is an integer number (5957616).

Almost surely, 2^65000013 is an apocalyptic number.

It is an amenable number.

65000013 is a deficient number, since it is larger than the sum of its proper divisors (30321843).

65000013 is a wasteful number, since it uses less digits than its factorization.

65000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35524.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 65000013 is about 8062.2585545243. The cubic root of 65000013 is about 402.0726026637.

Adding to 65000013 its reverse (31000056), we get a palindrome (96000069).

The spelling of 65000013 in words is "sixty-five million, thirteen", and thus it is an aban number and an uban number.