516512082353 has 2 divisors, whose sum is σ = 516512082354. Its totient is φ = 516512082352.

The previous prime is 516512082299. The next prime is 516512082377. The reversal of 516512082353 is 353280215615.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298359565729 + 218152516624 = 546223^2 + 467068^2 .

It is a cyclic number.

It is not a de Polignac number, because 516512082353 - 2¹⁰ = 516512081329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 516512082353.

It is not a weakly prime, because it can be changed into another prime (516512082553) 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 as a sum of consecutive naturals, namely, 258256041176 + 258256041177.

It is an arithmetic number, because the mean of its divisors is an integer number (258256041177).

Almost surely, 2^516512082353 is an apocalyptic number.

It is an amenable number.

516512082353 is a deficient number, since it is larger than the sum of its proper divisors (1).

516512082353 is an equidigital number, since it uses as much as digits as its factorization.

516512082353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216000, while the sum is 41.

Adding to 516512082353 its reverse (353280215615), we get a palindrome (869792297968).

The spelling of 516512082353 in words is "five hundred sixteen billion, five hundred twelve million, eighty-two thousand, three hundred fifty-three".