509982135 has 64 divisors (see below), whose sum is σ = 941068800. Its totient is φ = 233722368.

The previous prime is 509982061. The next prime is 509982169. The reversal of 509982135 is 531289905.

It is not a de Polignac number, because 509982135 - 2¹⁰ = 509981111 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217429 + ... + 219761.

It is an arithmetic number, because the mean of its divisors is an integer number (14704200).

Almost surely, 2^509982135 is an apocalyptic number.

509982135 is a deficient number, since it is larger than the sum of its proper divisors (431086665).

509982135 is a wasteful number, since it uses less digits than its factorization.

509982135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432.

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 509982135 is about 22582.7840400603. The cubic root of 509982135 is about 798.9476449389.

The spelling of 509982135 in words is "five hundred nine million, nine hundred eighty-two thousand, one hundred thirty-five".