509973871681 has 8 divisors (see below), whose sum is σ = 524188781864. Its totient is φ = 495781689600.

The previous prime is 509973871609. The next prime is 509973871703. The reversal of 509973871681 is 186178379905.

It can be written as a sum of positive squares in 4 ways, for example, as 22323049281 + 487650822400 = 149409^2 + 698320^2 .

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 509973871681 - 2¹³ = 509973863489 is a prime.

It is a super-2 number, since 2×509973871681² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509973271681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5636520 + ... + 5726281.

It is an arithmetic number, because the mean of its divisors is an integer number (65523597733).

Almost surely, 2^509973871681 is an apocalyptic number.

It is an amenable number.

509973871681 is a deficient number, since it is larger than the sum of its proper divisors (14214910183).

509973871681 is a wasteful number, since it uses less digits than its factorization.

509973871681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11364051.

The product of its (nonzero) digits is 22861440, while the sum is 64.

The spelling of 509973871681 in words is "five hundred nine billion, nine hundred seventy-three million, eight hundred seventy-one thousand, six hundred eighty-one".