414013051354249 has 2 divisors, whose sum is σ = 414013051354250. Its totient is φ = 414013051354248.

The previous prime is 414013051354207. The next prime is 414013051354271. The reversal of 414013051354249 is 942453150310414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 272335641734025 + 141677409620224 = 16502595^2 + 11902832^2 .

It is a cyclic number.

It is not a de Polignac number, because 414013051354249 - 2⁴⁵ = 378828679265417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414013051354199 and 414013051354208.

It is not a weakly prime, because it can be changed into another prime (414013051354849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207006525677124 + 207006525677125.

It is an arithmetic number, because the mean of its divisors is an integer number (207006525677125).

Almost surely, 2^{414013051354249} is an apocalyptic number.

It is an amenable number.

414013051354249 is a deficient number, since it is larger than the sum of its proper divisors (1).

414013051354249 is an equidigital number, since it uses as much as digits as its factorization.

414013051354249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 414013051354249 in words is "four hundred fourteen trillion, thirteen billion, fifty-one million, three hundred fifty-four thousand, two hundred forty-nine".