212513616 has 60 divisors (see below), whose sum is σ = 679709472. Its totient is φ = 60717888.

The previous prime is 212513597. The next prime is 212513627. The reversal of 212513616 is 616315212.

212513616 is a `hidden beast` number, since 21 + 25 + 1 + 3 + 616 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 212513616.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104406 + ... + 106421.

Almost surely, 2^212513616 is an apocalyptic number.

It is an amenable number.

212513616 is an abundant number, since it is smaller than the sum of its proper divisors (467195856).

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

212513616 is a wasteful number, since it uses less digits than its factorization.

212513616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210848 (or 210839 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 212513616 is about 14577.8467545794. The cubic root of 212513616 is about 596.7543411559.

Adding to 212513616 its reverse (616315212), we get a palindrome (828828828).

The spelling of 212513616 in words is "two hundred twelve million, five hundred thirteen thousand, six hundred sixteen".