505550101005 has 32 divisors (see below), whose sum is σ = 898905669120. Its totient is φ = 269581740480.

The previous prime is 505550100949. The next prime is 505550101009. The reversal of 505550101005 is 500101055505.

505550101005 is a `hidden beast` number, since 5 + 0 + 5 + 550 + 1 + 0 + 100 + 5 = 666.

It is not a de Polignac number, because 505550101005 - 2⁷ = 505550100877 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 505550101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505550101009) 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 31 ways as a sum of consecutive naturals, for example, 507820 + ... + 1126490.

It is an arithmetic number, because the mean of its divisors is an integer number (28090802160).

Almost surely, 2^505550101005 is an apocalyptic number.

It is an amenable number.

505550101005 is a deficient number, since it is larger than the sum of its proper divisors (393355568115).

505550101005 is a wasteful number, since it uses less digits than its factorization.

505550101005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624738 (or 624732 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 505550101005 in words is "five hundred five billion, five hundred fifty million, one hundred one thousand, five".