512761 has 2 divisors, whose sum is σ = 512762. Its totient is φ = 512760.

The previous prime is 512747. The next prime is 512767. The reversal of 512761 is 167215.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 383161 + 129600 = 619^2 + 360^2 .

It is a cyclic number.

It is not a de Polignac number, because 512761 - 2⁹ = 512249 is a prime.

It is a Chen prime.

512761 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (512767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 256380 + 256381.

It is an arithmetic number, because the mean of its divisors is an integer number (256381).

2⁵¹²⁷⁶¹ is an apocalyptic number.

It is an amenable number.

512761 is a deficient number, since it is larger than the sum of its proper divisors (1).

512761 is an equidigital number, since it uses as much as digits as its factorization.

512761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 420, while the sum is 22.

The square root of 512761 is about 716.0733202683. The cubic root of 512761 is about 80.0396157958.

Adding to 512761 its reverse (167215), we get a palindrome (679976).

The spelling of 512761 in words is "five hundred twelve thousand, seven hundred sixty-one".