213065506116 has 36 divisors (see below), whose sum is σ = 538626100012. Its totient is φ = 71016053184.

The previous prime is 213065506103. The next prime is 213065506163. The reversal of 213065506116 is 611605560312.

213065506116 is a `hidden beast` number, since 2 + 1 + 30 + 6 + 5 + 5 + 0 + 611 + 6 = 666.

213065506116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 156739977216 + 56325528900 = 395904^2 + 237330^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219450 + ... + 688686.

Almost surely, 2^213065506116 is an apocalyptic number.

It is an amenable number.

213065506116 is an abundant number, since it is smaller than the sum of its proper divisors (325560593896).

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

213065506116 is a wasteful number, since it uses less digits than its factorization.

213065506116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481860 (or 481855 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 213065506116 in words is "two hundred thirteen billion, sixty-five million, five hundred six thousand, one hundred sixteen".