505550005505 has 16 divisors (see below), whose sum is σ = 612289341840. Its totient is φ = 400687886592.

The previous prime is 505550005481. The next prime is 505550005537. The reversal of 505550005505 is 505500055505.

It can be written as a sum of positive squares in 8 ways, for example, as 97479455089 + 408070550416 = 312217^2 + 638804^2 .

It is a cyclic number.

It is not a de Polignac number, because 505550005505 - 2¹⁴ = 505549989121 is a prime.

It is a super-2 number, since 2×505550005505² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5863367 + ... + 5948963.

It is an arithmetic number, because the mean of its divisors is an integer number (38268083865).

Almost surely, 2^505550005505 is an apocalyptic number.

It is an amenable number.

505550005505 is a deficient number, since it is larger than the sum of its proper divisors (106739336335).

505550005505 is a wasteful number, since it uses less digits than its factorization.

505550005505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96548.

The product of its (nonzero) digits is 78125, while the sum is 35.

The spelling of 505550005505 in words is "five hundred five billion, five hundred fifty million, five thousand, five hundred five".