516551257 has 2 divisors, whose sum is σ = 516551258. Its totient is φ = 516551256.

The previous prime is 516551159. The next prime is 516551267. The reversal of 516551257 is 752155615.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 496220176 + 20331081 = 22276^2 + 4509^2 .

It is a cyclic number.

It is not a de Polignac number, because 516551257 - 2¹⁹ = 516026969 is a prime.

It is a super-2 number, since 2×516551257² = 533650402216560098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (516551267) 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, 258275628 + 258275629.

It is an arithmetic number, because the mean of its divisors is an integer number (258275629).

Almost surely, 2^516551257 is an apocalyptic number.

It is an amenable number.

516551257 is a deficient number, since it is larger than the sum of its proper divisors (1).

516551257 is an equidigital number, since it uses as much as digits as its factorization.

516551257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52500, while the sum is 37.

The square root of 516551257 is about 22727.7640123264. The cubic root of 516551257 is about 802.3634570664.

The spelling of 516551257 in words is "five hundred sixteen million, five hundred fifty-one thousand, two hundred fifty-seven".