213600184561 has 9 divisors (see below), whose sum is σ = 214234772193. Its totient is φ = 212967475200.

The previous prime is 213600184547. The next prime is 213600184643. The reversal of 213600184561 is 165481006312.

It is a happy number.

The square root of 213600184561 is 462169.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14648502961 + 198951681600 = 121031^2 + 446040^2 .

It is not a de Polignac number, because 213600184561 - 2¹¹ = 213600182513 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213600184561.

It is not an unprimeable number, because it can be changed into a prime (213600184531) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 277763185 + ... + 277763953.

It is an arithmetic number, because the mean of its divisors is an integer number (23803863577).

Almost surely, 2^213600184561 is an apocalyptic number.

213600184561 is the 462169-th square number.

213600184561 is the 231085-th centered octagonal number.

It is an amenable number.

213600184561 is a deficient number, since it is larger than the sum of its proper divisors (634587632).

213600184561 is an frugal number, since it uses more digits than its factorization.

213600184561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

It can be divided in two parts, 213600 and 184561, that added together give a square (398161 = 631²).

The spelling of 213600184561 in words is "two hundred thirteen billion, six hundred million, one hundred eighty-four thousand, five hundred sixty-one".