509242905 has 24 divisors (see below), whose sum is σ = 934611912. Its totient is φ = 255619584.

The previous prime is 509242897. The next prime is 509242999.

It is a happy number.

509242905 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 46949904 + 462293001 = 6852^2 + 21501^2 .

It is not a de Polignac number, because 509242905 - 2³ = 509242897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 509242905.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332074 + ... + 333603.

It is an arithmetic number, because the mean of its divisors is an integer number (38942163).

Almost surely, 2^509242905 is an apocalyptic number.

It is an amenable number.

509242905 is a deficient number, since it is larger than the sum of its proper divisors (425369007).

509242905 is a wasteful number, since it uses less digits than its factorization.

509242905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665705 (or 665702 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 509242905 is about 22566.4109906737. The cubic root of 509242905 is about 798.5614277086.

The spelling of 509242905 in words is "five hundred nine million, two hundred forty-two thousand, nine hundred five".