6288213232161 has 81 divisors (see below), whose sum is σ = 10821239257491. Its totient is φ = 3508436562624.

The previous prime is 6288213232129. The next prime is 6288213232201. The reversal of 6288213232161 is 1612323128826.

The square root of 6288213232161 is 2507631.

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

6288213232161 is a `hidden beast` number, since 6 + 288 + 21 + 323 + 21 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 977695776225 + 5310517455936 = 988785^2 + 2304456^2 .

It is not a de Polignac number, because 6288213232161 - 2⁵ = 6288213232129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6288213232111) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2264389405 + ... + 2264392181.

Almost surely, 2^{6288213232161} is an apocalyptic number.

6288213232161 is the 2507631-st square number.

6288213232161 is the 1253816-th centered octagonal number.

It is an amenable number.

6288213232161 is a deficient number, since it is larger than the sum of its proper divisors (4533026025330).

6288213232161 is an frugal number, since it uses more digits than its factorization.

6288213232161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5660 (or 2830 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 6288213232161 in words is "six trillion, two hundred eighty-eight billion, two hundred thirteen million, two hundred thirty-two thousand, one hundred sixty-one".