• 512320² = 262471782400 is an anagram of the next square 512321² = 262472807041.

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512320 has 28 divisors (see below), whose sum is σ = 1220724. Its totient is φ = 204800.

The previous prime is 512311. The next prime is 512321. The reversal of 512320 is 23215.

It can be written as a sum of positive squares in 2 ways, for example, as 399424 + 112896 = 632^2 + 336^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 512320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512321) by changing a digit.

512320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 481 + ... + 1120.

2⁵¹²³²⁰ is an apocalyptic number.

It is an amenable number.

512320 is an abundant number, since it is smaller than the sum of its proper divisors (708404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

512320 is a wasteful number, since it uses less digits than its factorization.

512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 512320 is about 715.7653246700. The cubic root of 512320 is about 80.0166631956.

Adding to 512320 its reverse (23215), we get a palindrome (535535).

The spelling of 512320 in words is "five hundred twelve thousand, three hundred twenty".