511005749 has 2 divisors, whose sum is σ = 511005750. Its totient is φ = 511005748.

The previous prime is 511005713. The next prime is 511005751. The reversal of 511005749 is 947500115.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 502566724 + 8439025 = 22418^2 + 2905^2 .

It is a cyclic number.

It is not a de Polignac number, because 511005749 - 2⁸ = 511005493 is a prime.

It is a super-2 number, since 2×511005749² = 522253751022102002, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 511005751, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (511005769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 255502874 + 255502875.

It is an arithmetic number, because the mean of its divisors is an integer number (255502875).

Almost surely, 2^511005749 is an apocalyptic number.

It is an amenable number.

511005749 is a deficient number, since it is larger than the sum of its proper divisors (1).

511005749 is an equidigital number, since it uses as much as digits as its factorization.

511005749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6300, while the sum is 32.

The square root of 511005749 is about 22605.4362709504. The cubic root of 511005749 is about 799.4818253788.

The spelling of 511005749 in words is "five hundred eleven million, five thousand, seven hundred forty-nine".