213606513 has 48 divisors (see below), whose sum is σ = 339852240. Its totient is φ = 128729088.

The previous prime is 213606487. The next prime is 213606521. The reversal of 213606513 is 315606312.

213606513 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 0 + 651 + 3 = 666.

213606513 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 8 ways, for example, as 9345249 + 204261264 = 3057^2 + 14292^2 .

It is a de Polignac number, because none of the positive numbers 2^k-213606513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213604513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548923 + ... + 549311.

It is an arithmetic number, because the mean of its divisors is an integer number (7080255).

Almost surely, 2^213606513 is an apocalyptic number.

It is an amenable number.

213606513 is a deficient number, since it is larger than the sum of its proper divisors (126245727).

213606513 is a wasteful number, since it uses less digits than its factorization.

213606513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 213606513 is about 14615.2835415533. The cubic root of 213606513 is about 597.7755717227.

The spelling of 213606513 in words is "two hundred thirteen million, six hundred six thousand, five hundred thirteen".