811166401 has 2 divisors, whose sum is σ = 811166402. Its totient is φ = 811166400.

The previous prime is 811166383. The next prime is 811166497. The reversal of 811166401 is 104661118.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 785400625 + 25765776 = 28025^2 + 5076^2 .

It is a cyclic number.

It is not a de Polignac number, because 811166401 - 2¹¹ = 811164353 is a prime.

It is a super-2 number, since 2×811166401² = 1315981860222585602, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 811166401.

It is not a weakly prime, because it can be changed into another prime (811166701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 405583200 + 405583201.

It is an arithmetic number, because the mean of its divisors is an integer number (405583201).

Almost surely, 2^811166401 is an apocalyptic number.

It is an amenable number.

811166401 is a deficient number, since it is larger than the sum of its proper divisors (1).

811166401 is an equidigital number, since it uses as much as digits as its factorization.

811166401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 811166401 is about 28480.9831466542. The cubic root of 811166401 is about 932.6169790500.

The spelling of 811166401 in words is "eight hundred eleven million, one hundred sixty-six thousand, four hundred one".