512642052 has 72 divisors (see below), whose sum is σ = 1404615576. Its totient is φ = 156708864.

The previous prime is 512642033. The next prime is 512642057. The reversal of 512642052 is 250246215.

512642052 is a `hidden beast` number, since 5 + 12 + 642 + 0 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2604996 + 510037056 = 1614^2 + 22584^2 .

It is not an unprimeable number, because it can be changed into a prime (512642057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69988 + ... + 76964.

Almost surely, 2^512642052 is an apocalyptic number.

512642052 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512642052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702307788).

512642052 is an abundant number, since it is smaller than the sum of its proper divisors (891973524).

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

512642052 is a wasteful number, since it uses less digits than its factorization.

512642052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7157 (or 7152 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 512642052 is about 22641.6000317999. The cubic root of 512642052 is about 800.3342623997.

Adding to 512642052 its reverse (250246215), we get a palindrome (762888267).

The spelling of 512642052 in words is "five hundred twelve million, six hundred forty-two thousand, fifty-two".