516164313361 has 8 divisors (see below), whose sum is σ = 520450128000. Its totient is φ = 511889913600.

The previous prime is 516164313349. The next prime is 516164313389. The reversal of 516164313361 is 163313461615.

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 516164313361 - 2⁹ = 516164312849 is a prime.

It is a super-3 number, since 3×516164313361³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516164313311) 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 7 ways as a sum of consecutive naturals, for example, 2762896 + ... + 2943793.

It is an arithmetic number, because the mean of its divisors is an integer number (65056266000).

Almost surely, 2^516164313361 is an apocalyptic number.

It is an amenable number.

516164313361 is a deficient number, since it is larger than the sum of its proper divisors (4285814639).

516164313361 is a wasteful number, since it uses less digits than its factorization.

516164313361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5707439.

The product of its digits is 116640, while the sum is 40.

Adding to 516164313361 its reverse (163313461615), we get a palindrome (679477774976).

The spelling of 516164313361 in words is "five hundred sixteen billion, one hundred sixty-four million, three hundred thirteen thousand, three hundred sixty-one".