516253305 has 16 divisors (see below), whose sum is σ = 826289280. Its totient is φ = 275240448.

The previous prime is 516253289. The next prime is 516253307. The reversal of 516253305 is 503352615.

It is not a de Polignac number, because 516253305 - 2⁴ = 516253289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (516253307) 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 15 ways as a sum of consecutive naturals, for example, 73956 + ... + 80634.

It is an arithmetic number, because the mean of its divisors is an integer number (51643080).

Almost surely, 2^516253305 is an apocalyptic number.

It is an amenable number.

516253305 is a deficient number, since it is larger than the sum of its proper divisors (310035975).

516253305 is a wasteful number, since it uses less digits than its factorization.

516253305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11840.

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 516253305 is about 22721.2082645268. The cubic root of 516253305 is about 802.2091569375.

The spelling of 516253305 in words is "five hundred sixteen million, two hundred fifty-three thousand, three hundred five".