505656656505 has 128 divisors (see below), whose sum is σ = 1206975651840. Its totient is φ = 193978126080.

The previous prime is 505656656501. The next prime is 505656656513.

505656656505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 505656656505 - 2² = 505656656501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (505656656501) 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 127 ways as a sum of consecutive naturals, for example, 1735797 + ... + 2006066.

It is an arithmetic number, because the mean of its divisors is an integer number (9429497280).

Almost surely, 2^505656656505 is an apocalyptic number.

505656656505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505656656505 is an abundant number, since it is smaller than the sum of its proper divisors (701318995335).

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

505656656505 is a wasteful number, since it uses less digits than its factorization.

505656656505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741908 (or 3741902 counting only the distinct ones).

The product of its (nonzero) digits is 20250000, while the sum is 54.

The spelling of 505656656505 in words is "five hundred five billion, six hundred fifty-six million, six hundred fifty-six thousand, five hundred five".