65505472513 has 32 divisors (see below), whose sum is σ = 77763036960. Its totient is φ = 54596505600.

The previous prime is 65505472507. The next prime is 65505472553. The reversal of 65505472513 is 31527450556.

It can be written as a sum of positive squares in 16 ways, for example, as 7420616449 + 58084856064 = 86143^2 + 241008^2 .

It is not a de Polignac number, because 65505472513 - 2⁵ = 65505472481 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 65505472513.

It is not an unprimeable number, because it can be changed into a prime (65505472553) 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 31 ways as a sum of consecutive naturals, for example, 973663 + ... + 1038763.

It is an arithmetic number, because the mean of its divisors is an integer number (2430094905).

Almost surely, 2^65505472513 is an apocalyptic number.

It is an amenable number.

65505472513 is a deficient number, since it is larger than the sum of its proper divisors (12257564447).

65505472513 is a wasteful number, since it uses less digits than its factorization.

65505472513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65317.

The product of its (nonzero) digits is 630000, while the sum is 43.

The spelling of 65505472513 in words is "sixty-five billion, five hundred five million, four hundred seventy-two thousand, five hundred thirteen".