401405113 has 2 divisors, whose sum is σ = 401405114. Its totient is φ = 401405112.

The previous prime is 401405099. The next prime is 401405141. The reversal of 401405113 is 311504104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 341621289 + 59783824 = 18483^2 + 7732^2 .

It is a cyclic number.

It is not a de Polignac number, because 401405113 - 2¹³ = 401396921 is a prime.

It is a super-3 number, since 3×401405113³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (401405183) 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, 200702556 + 200702557.

It is an arithmetic number, because the mean of its divisors is an integer number (200702557).

Almost surely, 2^401405113 is an apocalyptic number.

It is an amenable number.

401405113 is a deficient number, since it is larger than the sum of its proper divisors (1).

401405113 is an equidigital number, since it uses as much as digits as its factorization.

401405113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 401405113 is about 20035.0970299622. The cubic root of 401405113 is about 737.6680382396.

Adding to 401405113 its reverse (311504104), we get a palindrome (712909217).

The spelling of 401405113 in words is "four hundred one million, four hundred five thousand, one hundred thirteen".