505508509359 has 72 divisors (see below), whose sum is σ = 868553487360. Its totient is φ = 282385014912.

The previous prime is 505508509357. The next prime is 505508509367. The reversal of 505508509359 is 953905805505.

505508509359 is a `hidden beast` number, since 5 + 0 + 550 + 8 + 50 + 9 + 35 + 9 = 666.

It is not a de Polignac number, because 505508509359 - 2¹ = 505508509357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505508509351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6435282 + ... + 6513360.

It is an arithmetic number, because the mean of its divisors is an integer number (12063242880).

Almost surely, 2^505508509359 is an apocalyptic number.

505508509359 is a deficient number, since it is larger than the sum of its proper divisors (363044978001).

505508509359 is a wasteful number, since it uses less digits than its factorization.

505508509359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78429 (or 78419 counting only the distinct ones).

The product of its (nonzero) digits is 6075000, while the sum is 54.

The spelling of 505508509359 in words is "five hundred five billion, five hundred eight million, five hundred nine thousand, three hundred fifty-nine".