818132401 has 2 divisors, whose sum is σ = 818132402. Its totient is φ = 818132400.

The previous prime is 818132387. The next prime is 818132407. The reversal of 818132401 is 104231818.

818132401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 427042225 + 391090176 = 20665^2 + 19776^2 .

It is a cyclic number.

It is not a de Polignac number, because 818132401 - 2¹⁷ = 818001329 is a prime.

It is equal to p_42030658 and since 818132401 and 42030658 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 818132401.

It is not a weakly prime, because it can be changed into another prime (818132407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 409066200 + 409066201.

It is an arithmetic number, because the mean of its divisors is an integer number (409066201).

Almost surely, 2^818132401 is an apocalyptic number.

It is an amenable number.

818132401 is a deficient number, since it is larger than the sum of its proper divisors (1).

818132401 is an equidigital number, since it uses as much as digits as its factorization.

818132401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 818132401 is about 28603.0138446983. The cubic root of 818132401 is about 935.2790309839.

The spelling of 818132401 in words is "eight hundred eighteen million, one hundred thirty-two thousand, four hundred one".