509401911 has 16 divisors (see below), whose sum is σ = 691214688. Its totient is φ = 333609600.

The previous prime is 509401909. The next prime is 509401967. The reversal of 509401911 is 119104905.

It is not a de Polignac number, because 509401911 - 2¹ = 509401909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509401901) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 214945 + ... + 217301.

It is an arithmetic number, because the mean of its divisors is an integer number (43200918).

Almost surely, 2^509401911 is an apocalyptic number.

509401911 is a deficient number, since it is larger than the sum of its proper divisors (181812777).

509401911 is a wasteful number, since it uses less digits than its factorization.

509401911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602.

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 509401911 is about 22569.9337836867. The cubic root of 509401911 is about 798.6445333305.

The spelling of 509401911 in words is "five hundred nine million, four hundred one thousand, nine hundred eleven".