509909905 has 8 divisors (see below), whose sum is σ = 612028584. Its totient is φ = 407836800.

The previous prime is 509909899. The next prime is 509909921.

509909905 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 4739329 + 505170576 = 2177^2 + 22476^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 509909905 - 2²³ = 501521297 is a prime.

It is a super-2 number, since 2×509909905² = 520016222434218050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22275 + ... + 38935.

It is an arithmetic number, because the mean of its divisors is an integer number (76503573).

Almost surely, 2^509909905 is an apocalyptic number.

It is an amenable number.

509909905 is a deficient number, since it is larger than the sum of its proper divisors (102118679).

509909905 is a wasteful number, since it uses less digits than its factorization.

509909905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22787.

The product of its (nonzero) digits is 164025, while the sum is 46.

The square root of 509909905 is about 22581.1847563408. The cubic root of 509909905 is about 798.9099241972.

The spelling of 509909905 in words is "five hundred nine million, nine hundred nine thousand, nine hundred five".