10414013253221 has 8 divisors (see below), whose sum is σ = 10445292637560. Its totient is φ = 10382751836352.

The previous prime is 10414013253187. The next prime is 10414013253239. The reversal of 10414013253221 is 12235231041401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 139674112900 + 10274339140321 = 373730^2 + 3205361^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10414013253221 is a prime.

It is a super-3 number, since 3×10414013253221³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414013253421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3330470 + ... + 5649783.

It is an arithmetic number, because the mean of its divisors is an integer number (1305661579695).

Almost surely, 2^{10414013253221} is an apocalyptic number.

It is an amenable number.

10414013253221 is a deficient number, since it is larger than the sum of its proper divisors (31279384339).

10414013253221 is an equidigital number, since it uses as much as digits as its factorization.

10414013253221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8983735.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 10414013253221 its reverse (12235231041401), we get a palindrome (22649244294622).

The spelling of 10414013253221 in words is "ten trillion, four hundred fourteen billion, thirteen million, two hundred fifty-three thousand, two hundred twenty-one".