509989905 has 64 divisors (see below), whose sum is σ = 926519040. Its totient is φ = 266112000.

The previous prime is 509989901. The next prime is 509989937.

509989905 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 509989905 - 2² = 509989901 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509989901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1540590 + ... + 1540920.

It is an arithmetic number, because the mean of its divisors is an integer number (14476860).

Almost surely, 2^509989905 is an apocalyptic number.

It is an amenable number.

509989905 is a deficient number, since it is larger than the sum of its proper divisors (416529135).

509989905 is a wasteful number, since it uses less digits than its factorization.

509989905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1312200, while the sum is 54.

The square root of 509989905 is about 22582.9560731096. The cubic root of 509989905 is about 798.9517024612.

The spelling of 509989905 in words is "five hundred nine million, nine hundred eighty-nine thousand, nine hundred five".