516879753969 has 8 divisors (see below), whose sum is σ = 689213430400. Its totient is φ = 344566290096.

The previous prime is 516879753893. The next prime is 516879754007. The reversal of 516879753969 is 969357978615.

516879753969 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 516879753969 - 2³³ = 508289819377 is a prime.

It is a super-2 number, since 2×516879753969² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

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 516879753969.

It is not an unprimeable number, because it can be changed into a prime (516879754969) 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, 4993369 + ... + 5095830.

It is an arithmetic number, because the mean of its divisors is an integer number (86151678800).

Almost surely, 2^516879753969 is an apocalyptic number.

It is an amenable number.

516879753969 is a deficient number, since it is larger than the sum of its proper divisors (172333676431).

516879753969 is a wasteful number, since it uses less digits than its factorization.

516879753969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10106279.

The product of its digits is 771573600, while the sum is 75.

The spelling of 516879753969 in words is "five hundred sixteen billion, eight hundred seventy-nine million, seven hundred fifty-three thousand, nine hundred sixty-nine".