509161290561 has 48 divisors (see below), whose sum is σ = 918478154880. Its totient is φ = 264053122560.

The previous prime is 509161290511. The next prime is 509161290611. The reversal of 509161290561 is 165092161905.

It is a happy number.

509161290561 is a `hidden beast` number, since 5 + 0 + 9 + 1 + 61 + 29 + 0 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (509161290511) and next prime (509161290611).

It is not a de Polignac number, because 509161290561 - 2⁹ = 509161290049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (509161290511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208546 + ... + 1030443.

It is an arithmetic number, because the mean of its divisors is an integer number (19134961560).

Almost surely, 2^509161290561 is an apocalyptic number.

It is an amenable number.

509161290561 is a deficient number, since it is larger than the sum of its proper divisors (409316864319).

509161290561 is a wasteful number, since it uses less digits than its factorization.

509161290561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239606 (or 1239603 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 509161290561 in words is "five hundred nine billion, one hundred sixty-one million, two hundred ninety thousand, five hundred sixty-one".