512252689 has 9 divisors (see below), whose sum is σ = 555006609. Its totient is φ = 472577040.

The previous prime is 512252683. The next prime is 512252693. The reversal of 512252689 is 986252215.

The square root of 512252689 is 22633.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 423742225 + 88510464 = 20585^2 + 9408^2 .

It is not a de Polignac number, because 512252689 - 2¹³ = 512244497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (512252683) 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 in 8 ways as a sum of consecutive naturals, for example, 293359 + ... + 295099.

It is an arithmetic number, because the mean of its divisors is an integer number (61667401).

Almost surely, 2^512252689 is an apocalyptic number.

512252689 is the 22633-rd square number.

512252689 is the 11317-th centered octagonal number.

It is an amenable number.

512252689 is a deficient number, since it is larger than the sum of its proper divisors (42753920).

512252689 is an frugal number, since it uses more digits than its factorization.

512252689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508 (or 1754 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The cubic root of 512252689 is about 800.1315872090.

The spelling of 512252689 in words is "five hundred twelve million, two hundred fifty-two thousand, six hundred eighty-nine".