509545905 has 32 divisors (see below), whose sum is σ = 890448768. Its totient is φ = 246758400.

The previous prime is 509545903. The next prime is 509545919.

509545905 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 509545905 - 2¹ = 509545903 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509545901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212815 + ... + 215195.

It is an arithmetic number, because the mean of its divisors is an integer number (27826524).

Almost surely, 2^509545905 is an apocalyptic number.

509545905 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

509545905 is a deficient number, since it is larger than the sum of its proper divisors (380902863).

509545905 is a wasteful number, since it uses less digits than its factorization.

509545905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697.

The product of its (nonzero) digits is 202500, while the sum is 42.

The square root of 509545905 is about 22573.1235100506. The cubic root of 509545905 is about 798.7197779029.

The spelling of 509545905 in words is "five hundred nine million, five hundred forty-five thousand, nine hundred five".