505515515505 has 192 divisors, whose sum is σ = 1094915985408. Its totient is φ = 192333496320.

The previous prime is 505515515377. The next prime is 505515515543.

505515515505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 505515515505 - 2⁷ = 505515515377 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1125869521 + ... + 1125869969.

It is an arithmetic number, because the mean of its divisors is an integer number (5702687424).

Almost surely, 2^505515515505 is an apocalyptic number.

505515515505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505515515505 is an abundant number, since it is smaller than the sum of its proper divisors (589400469903).

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

505515515505 is a wasteful number, since it uses less digits than its factorization.

505515515505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 390625, while the sum is 42.

The spelling of 505515515505 in words is "five hundred five billion, five hundred fifteen million, five hundred fifteen thousand, five hundred five".