510772 has 12 divisors (see below), whose sum is σ = 900900. Its totient is φ = 253376.

The previous prime is 510767. The next prime is 510773. The reversal of 510772 is 277015.

It can be written as a sum of positive squares in 2 ways, for example, as 274576 + 236196 = 524^2 + 486^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510773) by changing a digit.

510772 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 168 + ... + 1024.

It is an arithmetic number, because the mean of its divisors is an integer number (75075).

2⁵¹⁰⁷⁷² is an apocalyptic number.

It is an amenable number.

510772 is a deficient number, since it is larger than the sum of its proper divisors (390128).

510772 is a wasteful number, since it uses less digits than its factorization.

510772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 510772 is about 714.6831465762. The cubic root of 510772 is about 79.9359904651.

Adding to 510772 its reverse (277015), we get a palindrome (787787).

The spelling of 510772 in words is "five hundred ten thousand, seven hundred seventy-two".