505955559505 has 48 divisors (see below), whose sum is σ = 677888027712. Its totient is φ = 362171779200.

The previous prime is 505955559491. The next prime is 505955559533.

It is a happy number.

505955559505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 505955559505 - 2¹⁵ = 505955526737 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 505955559505.

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 47 ways as a sum of consecutive naturals, for example, 55650010 + ... + 55659100.

It is an arithmetic number, because the mean of its divisors is an integer number (14122667244).

Almost surely, 2^505955559505 is an apocalyptic number.

505955559505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505955559505 is a deficient number, since it is larger than the sum of its proper divisors (171932468207).

505955559505 is a wasteful number, since it uses less digits than its factorization.

505955559505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10558 (or 10547 counting only the distinct ones).

The product of its (nonzero) digits is 31640625, while the sum is 58.

The spelling of 505955559505 in words is "five hundred five billion, nine hundred fifty-five million, five hundred fifty-nine thousand, five hundred five".