516957251 has 2 divisors, whose sum is σ = 516957252. Its totient is φ = 516957250.

The previous prime is 516957241. The next prime is 516957253. The reversal of 516957251 is 152759615.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 516957251 - 2¹⁰ = 516956227 is a prime.

It is a super-2 number, since 2×516957251² = 534489598722954002, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 516957253, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 516957199 and 516957208.

It is not a weakly prime, because it can be changed into another prime (516957253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258478625 + 258478626.

It is an arithmetic number, because the mean of its divisors is an integer number (258478626).

Almost surely, 2^516957251 is an apocalyptic number.

516957251 is a deficient number, since it is larger than the sum of its proper divisors (1).

516957251 is an equidigital number, since it uses as much as digits as its factorization.

516957251 is an evil number, because the sum of its binary digits is even.

The product of its digits is 94500, while the sum is 41.

The square root of 516957251 is about 22736.6939329358. The cubic root of 516957251 is about 802.5736133273.

The spelling of 516957251 in words is "five hundred sixteen million, nine hundred fifty-seven thousand, two hundred fifty-one".