212565258304 has 63 divisors (see below), whose sum is σ = 490735595997. Its totient is φ = 91088331264.

The previous prime is 212565258281. The next prime is 212565258317. The reversal of 212565258304 is 403852565212.

The square root of 212565258304 is 461048.

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

It can be written as a sum of positive squares in only one way, i.e., 41209000000 + 171356258304 = 203000^2 + 413952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25814572 + ... + 25822804.

Almost surely, 2^212565258304 is an apocalyptic number.

212565258304 is the 461048-th square number.

It is an amenable number.

212565258304 is an abundant number, since it is smaller than the sum of its proper divisors (278170337693).

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

212565258304 is an frugal number, since it uses more digits than its factorization.

212565258304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16492 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 212565258304 in words is "two hundred twelve billion, five hundred sixty-five million, two hundred fifty-eight thousand, three hundred four".