6401413 has 2 divisors, whose sum is σ = 6401414. Its totient is φ = 6401412.

The previous prime is 6401411. The next prime is 6401419. The reversal of 6401413 is 3141046.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3467044 + 2934369 = 1862^2 + 1713^2 .

It is a cyclic number.

It is not a de Polignac number, because 6401413 - 2¹ = 6401411 is a prime.

It is a super-3 number, since 3×6401413³ (a number of 21 digits) contains 333 as substring.

Together with 6401411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6401411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3200706 + 3200707.

It is an arithmetic number, because the mean of its divisors is an integer number (3200707).

Almost surely, 2^6401413 is an apocalyptic number.

It is an amenable number.

6401413 is a deficient number, since it is larger than the sum of its proper divisors (1).

6401413 is an equidigital number, since it uses as much as digits as its factorization.

6401413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 6401413 is about 2530.1013813679. The cubic root of 6401413 is about 185.6772160162.

Adding to 6401413 its reverse (3141046), we get a palindrome (9542459).

The spelling of 6401413 in words is "six million, four hundred one thousand, four hundred thirteen".