212752512 has 144 divisors (see below), whose sum is σ = 712360350. Its totient is φ = 60770304.

The previous prime is 212752511. The next prime is 212752523. The reversal of 212752512 is 215257212.

212752512 is a `hidden beast` number, since 2 + 127 + 525 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 150405696 + 62346816 = 12264^2 + 7896^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (212752511) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 54564 + ... + 58332.

Almost surely, 2^212752512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212752512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356180175).

212752512 is an abundant number, since it is smaller than the sum of its proper divisors (499607838).

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

212752512 is a wasteful number, since it uses less digits than its factorization.

212752512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803 (or 3781 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 212752512 is about 14586.0382558116. The cubic root of 212752512 is about 596.9778701089.

The spelling of 212752512 in words is "two hundred twelve million, seven hundred fifty-two thousand, five hundred twelve".