401300401 has 2 divisors, whose sum is σ = 401300402. Its totient is φ = 401300400.

The previous prime is 401300369. The next prime is 401300407. The reversal of 401300401 is 104003104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 324720400 + 76580001 = 18020^2 + 8751^2 .

It is a cyclic number.

It is not a de Polignac number, because 401300401 - 2⁵ = 401300369 is a prime.

It is a super-2 number, since 2×401300401² = 322084023685521602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401300407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200650200 + 200650201.

It is an arithmetic number, because the mean of its divisors is an integer number (200650201).

Almost surely, 2^401300401 is an apocalyptic number.

It is an amenable number.

401300401 is a deficient number, since it is larger than the sum of its proper divisors (1).

401300401 is an equidigital number, since it uses as much as digits as its factorization.

401300401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 401300401 is about 20032.4836453197. The cubic root of 401300401 is about 737.6038890707.

Adding to 401300401 its reverse (104003104), we get a palindrome (505303505).

The spelling of 401300401 in words is "four hundred one million, three hundred thousand, four hundred one".