509630901 has 32 divisors (see below), whose sum is σ = 772208640. Its totient is φ = 296374464.

The previous prime is 509630899. The next prime is 509630909. The reversal of 509630901 is 109036905.

It is not a de Polignac number, because 509630901 - 2¹ = 509630899 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509630909) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 478896 + ... + 479958.

It is an arithmetic number, because the mean of its divisors is an integer number (24131520).

Almost surely, 2^509630901 is an apocalyptic number.

It is an amenable number.

509630901 is a deficient number, since it is larger than the sum of its proper divisors (262577739).

509630901 is a wasteful number, since it uses less digits than its factorization.

509630901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745.

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 509630901 is about 22575.0061129560. The cubic root of 509630901 is about 798.7641862092.

The spelling of 509630901 in words is "five hundred nine million, six hundred thirty thousand, nine hundred one".