5036564656305 has 64 divisors (see below), whose sum is σ = 11020175685120. Its totient is φ = 2125319586048.

The previous prime is 5036564656267. The next prime is 5036564656363.

5036564656305 is a `hidden beast` number, since 5 + 0 + 36 + 5 + 6 + 46 + 563 + 0 + 5 = 666.

5036564656305 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5036564656305 - 2¹⁴ = 5036564639921 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 204976102 + ... + 205000671.

It is an arithmetic number, because the mean of its divisors is an integer number (172190245080).

Almost surely, 2^{5036564656305} is an apocalyptic number.

It is an amenable number.

5036564656305 is an abundant number, since it is smaller than the sum of its proper divisors (5983611028815).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5036564656305 is a wasteful number, since it uses less digits than its factorization.

5036564656305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409976807 (or 409976801 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 54.

The spelling of 5036564656305 in words is "five trillion, thirty-six billion, five hundred sixty-four million, six hundred fifty-six thousand, three hundred five".