516738393 has 32 divisors (see below), whose sum is σ = 784442880. Its totient is φ = 336061440.

The previous prime is 516738379. The next prime is 516738403. The reversal of 516738393 is 393837615.

It is not a de Polignac number, because 516738393 - 2⁴ = 516738377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (516738323) 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 31 ways as a sum of consecutive naturals, for example, 275248 + ... + 277118.

It is an arithmetic number, because the mean of its divisors is an integer number (24513840).

Almost surely, 2^516738393 is an apocalyptic number.

516738393 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

516738393 is a deficient number, since it is larger than the sum of its proper divisors (267704487).

516738393 is a wasteful number, since it uses less digits than its factorization.

516738393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2120 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 516738393 is about 22731.8805425332. The cubic root of 516738393 is about 802.4603386810.

The spelling of 516738393 in words is "five hundred sixteen million, seven hundred thirty-eight thousand, three hundred ninety-three".