53664410241 has 36 divisors (see below), whose sum is σ = 84240323388. Its totient is φ = 32904772992.

The previous prime is 53664410201. The next prime is 53664410311. The reversal of 53664410241 is 14201446635.

53664410241 is a `hidden beast` number, since 5 + 3 + 6 + 644 + 1 + 0 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 22890479616 + 30773930625 = 151296^2 + 175425^2 .

It is not a de Polignac number, because 53664410241 - 2²⁵ = 53630855809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 53664410196 and 53664410205.

It is not an unprimeable number, because it can be changed into a prime (53664410201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 357631 + ... + 485003.

It is an arithmetic number, because the mean of its divisors is an integer number (2340008983).

Almost surely, 2^53664410241 is an apocalyptic number.

It is an amenable number.

53664410241 is a deficient number, since it is larger than the sum of its proper divisors (30575913147).

53664410241 is a wasteful number, since it uses less digits than its factorization.

53664410241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127682 (or 127666 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 53664410241 its reverse (14201446635), we get a palindrome (67865856876).

The spelling of 53664410241 in words is "fifty-three billion, six hundred sixty-four million, four hundred ten thousand, two hundred forty-one".