413251409489 has 2 divisors, whose sum is σ = 413251409490. Its totient is φ = 413251409488.

The previous prime is 413251409423. The next prime is 413251409491. The reversal of 413251409489 is 984904152314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 227369709889 + 185881699600 = 476833^2 + 431140^2 .

It is a cyclic number.

It is not a de Polignac number, because 413251409489 - 2²⁴ = 413234632273 is a prime.

It is a super-2 number, since 2×413251409489² (a number of 24 digits) contains 22 as substring.

Together with 413251409491, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (413251403489) 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, 206625704744 + 206625704745.

It is an arithmetic number, because the mean of its divisors is an integer number (206625704745).

Almost surely, 2^413251409489 is an apocalyptic number.

It is an amenable number.

413251409489 is a deficient number, since it is larger than the sum of its proper divisors (1).

413251409489 is an equidigital number, since it uses as much as digits as its factorization.

413251409489 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1244160, while the sum is 50.

The spelling of 413251409489 in words is "four hundred thirteen billion, two hundred fifty-one million, four hundred nine thousand, four hundred eighty-nine".