212052511 has 16 divisors (see below), whose sum is σ = 235468800. Its totient is φ = 189352800.

The previous prime is 212052497. The next prime is 212052527. The reversal of 212052511 is 115250212.

It is a cyclic number.

It is not a de Polignac number, because 212052511 - 2¹¹ = 212050463 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212052811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207181 + ... + 208201.

It is an arithmetic number, because the mean of its divisors is an integer number (14716800).

Almost surely, 2^212052511 is an apocalyptic number.

212052511 is a deficient number, since it is larger than the sum of its proper divisors (23416289).

212052511 is a wasteful number, since it uses less digits than its factorization.

212052511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350.

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 212052511 is about 14562.0229020559. The cubic root of 212052511 is about 596.3224226878.

It can be divided in two parts, 21205 and 2511, that added together give a square (23716 = 154²).

The spelling of 212052511 in words is "two hundred twelve million, fifty-two thousand, five hundred eleven".