5005508063311 has 32 divisors (see below), whose sum is σ = 6141183229440. Its totient is φ = 3982011964416.

The previous prime is 5005508063293. The next prime is 5005508063327. The reversal of 5005508063311 is 1133608055005.

It is a cyclic number.

It is not a de Polignac number, because 5005508063311 - 2²¹ = 5005505966159 is a prime.

It is a super-3 number, since 3×5005508063311³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005508063111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50152320 + ... + 50252026.

It is an arithmetic number, because the mean of its divisors is an integer number (191911975920).

Almost surely, 2^{5005508063311} is an apocalyptic number.

5005508063311 is a deficient number, since it is larger than the sum of its proper divisors (1135675166129).

5005508063311 is a wasteful number, since it uses less digits than its factorization.

5005508063311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105583.

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 5005508063311 in words is "five trillion, five billion, five hundred eight million, sixty-three thousand, three hundred eleven".