8213182401 has 16 divisors (see below), whose sum is σ = 11432647296. Its totient is φ = 5234820096.

The previous prime is 8213182391. The next prime is 8213182403. The reversal of 8213182401 is 1042813128.

It is not a de Polignac number, because 8213182401 - 2²¹ = 8211085249 is a prime.

It is a super-2 number, since 2×8213182401² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8213182403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117631 + ... + 173963.

It is an arithmetic number, because the mean of its divisors is an integer number (714540456).

Almost surely, 2^8213182401 is an apocalyptic number.

It is an amenable number.

8213182401 is a deficient number, since it is larger than the sum of its proper divisors (3219464895).

8213182401 is a wasteful number, since it uses less digits than its factorization.

8213182401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58472.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 8213182401 is about 90626.6097843233. The cubic root of 8213182401 is about 2017.6096943500.

Adding to 8213182401 its reverse (1042813128), we get a palindrome (9255995529).

The spelling of 8213182401 in words is "eight billion, two hundred thirteen million, one hundred eighty-two thousand, four hundred one".