509202161 has 8 divisors (see below), whose sum is σ = 550728360. Its totient is φ = 468012672.

The previous prime is 509202151. The next prime is 509202181. The reversal of 509202161 is 161202905.

It can be written as a sum of positive squares in 4 ways, for example, as 86118400 + 423083761 = 9280^2 + 20569^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 509202161 - 2²⁶ = 442093297 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 509202161.

It is not an unprimeable number, because it can be changed into a prime (509202101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81026 + ... + 87083.

It is an arithmetic number, because the mean of its divisors is an integer number (68841045).

Almost surely, 2^509202161 is an apocalyptic number.

It is an amenable number.

509202161 is a deficient number, since it is larger than the sum of its proper divisors (41526199).

509202161 is a wasteful number, since it uses less digits than its factorization.

509202161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168355.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 509202161 is about 22565.5082149727. The cubic root of 509202161 is about 798.5401297817.

The spelling of 509202161 in words is "five hundred nine million, two hundred two thousand, one hundred sixty-one".