516097993 has 2 divisors, whose sum is σ = 516097994. Its totient is φ = 516097992.

The previous prime is 516097979. The next prime is 516097999. The reversal of 516097993 is 399790615.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 370485504 + 145612489 = 19248^2 + 12067^2 .

It is a cyclic number.

It is not a de Polignac number, because 516097993 - 2⁵ = 516097961 is a prime.

It is not a weakly prime, because it can be changed into another prime (516097999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258048996 + 258048997.

It is an arithmetic number, because the mean of its divisors is an integer number (258048997).

Almost surely, 2^516097993 is an apocalyptic number.

It is an amenable number.

516097993 is a deficient number, since it is larger than the sum of its proper divisors (1).

516097993 is an equidigital number, since it uses as much as digits as its factorization.

516097993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 459270, while the sum is 49.

The square root of 516097993 is about 22717.7902314464. The cubic root of 516097993 is about 802.1287021144.

The spelling of 516097993 in words is "five hundred sixteen million, ninety-seven thousand, nine hundred ninety-three".