509287782905 has 16 divisors (see below), whose sum is σ = 669641045184. Its totient is φ = 368759426880.

The previous prime is 509287782877. The next prime is 509287782919.

It is a happy number.

509287782905 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 509287782905 - 2²⁴ = 509271005689 is a prime.

It is a super-4 number, since 4×509287782905⁴ (a number of 48 digits) contains 4444 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20383502 + ... + 20408471.

It is an arithmetic number, because the mean of its divisors is an integer number (41852565324).

Almost surely, 2^509287782905 is an apocalyptic number.

509287782905 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

509287782905 is a deficient number, since it is larger than the sum of its proper divisors (160353262279).

509287782905 is a wasteful number, since it uses less digits than its factorization.

509287782905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40792216.

The product of its (nonzero) digits is 25401600, while the sum is 62.

The spelling of 509287782905 in words is "five hundred nine billion, two hundred eighty-seven million, seven hundred eighty-two thousand, nine hundred five".