516509131 has 2 divisors, whose sum is σ = 516509132. Its totient is φ = 516509130.

The previous prime is 516509099. The next prime is 516509141. The reversal of 516509131 is 131905615.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 516509131 - 2⁵ = 516509099 is a prime.

It is a super-2 number, since 2×516509131² = 533563364812750322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 516509093 and 516509102.

It is not a weakly prime, because it can be changed into another prime (516509141) 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, 258254565 + 258254566.

It is an arithmetic number, because the mean of its divisors is an integer number (258254566).

Almost surely, 2^516509131 is an apocalyptic number.

516509131 is a deficient number, since it is larger than the sum of its proper divisors (1).

516509131 is an equidigital number, since it uses as much as digits as its factorization.

516509131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 516509131 is about 22726.8372414641. The cubic root of 516509131 is about 802.3416449156.

The spelling of 516509131 in words is "five hundred sixteen million, five hundred nine thousand, one hundred thirty-one".