414510003121 has 2 divisors, whose sum is σ = 414510003122. Its totient is φ = 414510003120.

The previous prime is 414510003119. The next prime is 414510003139. The reversal of 414510003121 is 121300015414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 339814380096 + 74695623025 = 582936^2 + 273305^2 .

It is a cyclic number.

It is not a de Polignac number, because 414510003121 - 2¹ = 414510003119 is a prime.

Together with 414510003119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 414510003092 and 414510003101.

It is not a weakly prime, because it can be changed into another prime (414510003161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207255001560 + 207255001561.

It is an arithmetic number, because the mean of its divisors is an integer number (207255001561).

Almost surely, 2^414510003121 is an apocalyptic number.

It is an amenable number.

414510003121 is a deficient number, since it is larger than the sum of its proper divisors (1).

414510003121 is an equidigital number, since it uses as much as digits as its factorization.

414510003121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 414510003121 its reverse (121300015414), we get a palindrome (535810018535).

The spelling of 414510003121 in words is "four hundred fourteen billion, five hundred ten million, three thousand, one hundred twenty-one".