509876241 has 32 divisors (see below), whose sum is σ = 797153280. Its totient is φ = 283820544.

The previous prime is 509876209. The next prime is 509876249. The reversal of 509876241 is 142678905.

It is not a de Polignac number, because 509876241 - 2⁵ = 509876209 is a prime.

It is a super-2 number, since 2×509876241² = 519947562272580162, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 509876193 and 509876202.

It is not an unprimeable number, because it can be changed into a prime (509876249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607300 + ... + 608138.

It is an arithmetic number, because the mean of its divisors is an integer number (24911040).

Almost surely, 2^509876241 is an apocalyptic number.

It is an amenable number.

509876241 is a deficient number, since it is larger than the sum of its proper divisors (287277039).

509876241 is a wasteful number, since it uses less digits than its factorization.

509876241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565.

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 509876241 is about 22580.4393447072. The cubic root of 509876241 is about 798.8923425975.

The spelling of 509876241 in words is "five hundred nine million, eight hundred seventy-six thousand, two hundred forty-one".