516741008761 has 2 divisors, whose sum is σ = 516741008762. Its totient is φ = 516741008760.

The previous prime is 516741008747. The next prime is 516741008801. The reversal of 516741008761 is 167800147615.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 420792229225 + 95948779536 = 648685^2 + 309756^2 .

It is a cyclic number.

It is not a de Polignac number, because 516741008761 - 2¹⁹ = 516740484473 is a prime.

It is not a weakly prime, because it can be changed into another prime (516741008701) 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, 258370504380 + 258370504381.

It is an arithmetic number, because the mean of its divisors is an integer number (258370504381).

Almost surely, 2^516741008761 is an apocalyptic number.

It is an amenable number.

516741008761 is a deficient number, since it is larger than the sum of its proper divisors (1).

516741008761 is an equidigital number, since it uses as much as digits as its factorization.

516741008761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 46.

The spelling of 516741008761 in words is "five hundred sixteen billion, seven hundred forty-one million, eight thousand, seven hundred sixty-one".