509982161 has 16 divisors (see below), whose sum is σ = 559999440. Its totient is φ = 461583360.

The previous prime is 509982061. The next prime is 509982169. The reversal of 509982161 is 161289905.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 290497936 + 219484225 = 17044^2 + 14815^2 .

It is a cyclic number.

It is not a de Polignac number, because 509982161 - 2²² = 505787857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509982169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170285 + ... + 173253.

It is an arithmetic number, because the mean of its divisors is an integer number (34999965).

Almost surely, 2^509982161 is an apocalyptic number.

It is an amenable number.

509982161 is a deficient number, since it is larger than the sum of its proper divisors (50017279).

509982161 is a wasteful number, since it uses less digits than its factorization.

509982161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236.

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 509982161 is about 22582.7846157200. The cubic root of 509982161 is about 798.9476585162.

The spelling of 509982161 in words is "five hundred nine million, nine hundred eighty-two thousand, one hundred sixty-one".