505005583 has 2 divisors, whose sum is σ = 505005584. Its totient is φ = 505005582.

The previous prime is 505005581. The next prime is 505005607. The reversal of 505005583 is 385500505.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 505005583 - 2¹ = 505005581 is a prime.

It is a super-2 number, since 2×505005583² = 510061277722339778, which contains 22 as substring.

Together with 505005581, it forms a pair of twin primes.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505005581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252502791 + 252502792.

It is an arithmetic number, because the mean of its divisors is an integer number (252502792).

Almost surely, 2^505005583 is an apocalyptic number.

505005583 is a deficient number, since it is larger than the sum of its proper divisors (1).

505005583 is an equidigital number, since it uses as much as digits as its factorization.

505005583 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15000, while the sum is 31.

The square root of 505005583 is about 22472.3292740205. The cubic root of 505005583 is about 796.3403587898.

The spelling of 505005583 in words is "five hundred five million, five thousand, five hundred eighty-three".