213546576321 has 135 divisors (see below), whose sum is σ = 363750867597. Its totient is φ = 120666424320.

The previous prime is 213546576259. The next prime is 213546576337. The reversal of 213546576321 is 123675645312.

The square root of 213546576321 is 462111.

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

213546576321 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 4 + 6 + 5 + 7 + 632 + 1 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 186507378225 + 27039198096 = 431865^2 + 164436^2 .

It is not a de Polignac number, because 213546576321 - 2⁷ = 213546576193 is a prime.

It is a super-3 number, since 3×213546576321³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (213546576371) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5208453061 + ... + 5208453101.

Almost surely, 2^213546576321 is an apocalyptic number.

213546576321 is the 462111-st square number.

213546576321 is the 231056-th centered octagonal number.

It is an amenable number.

213546576321 is a deficient number, since it is larger than the sum of its proper divisors (150204291276).

213546576321 is an frugal number, since it uses more digits than its factorization.

213546576321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 74 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 213546576321 in words is "two hundred thirteen billion, five hundred forty-six million, five hundred seventy-six thousand, three hundred twenty-one".