5181806401 has 2 divisors, whose sum is σ = 5181806402. Its totient is φ = 5181806400.

The previous prime is 5181806347. The next prime is 5181806417. The reversal of 5181806401 is 1046081815.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4790716225 + 391090176 = 69215^2 + 19776^2 .

It is a cyclic number.

It is not a de Polignac number, because 5181806401 - 2¹⁷ = 5181675329 is a prime.

It is a super-2 number, since 2×5181806401² = 53702235154889145602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (5181806491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2590903200 + 2590903201.

It is an arithmetic number, because the mean of its divisors is an integer number (2590903201).

Almost surely, 2^5181806401 is an apocalyptic number.

It is an amenable number.

5181806401 is a deficient number, since it is larger than the sum of its proper divisors (1).

5181806401 is an equidigital number, since it uses as much as digits as its factorization.

5181806401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 34.

The square root of 5181806401 is about 71984.7650617823. The cubic root of 5181806401 is about 1730.4553359460.

The spelling of 5181806401 in words is "five billion, one hundred eighty-one million, eight hundred six thousand, four hundred one".