413523029 has 2 divisors, whose sum is σ = 413523030. Its totient is φ = 413523028.

The previous prime is 413523017. The next prime is 413523031. The reversal of 413523029 is 920325314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 400920529 + 12602500 = 20023^2 + 3550^2 .

It is a cyclic number.

It is not a de Polignac number, because 413523029 - 2¹² = 413518933 is a prime.

Together with 413523031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 413522992 and 413523010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413523059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206761514 + 206761515.

It is an arithmetic number, because the mean of its divisors is an integer number (206761515).

Almost surely, 2^413523029 is an apocalyptic number.

It is an amenable number.

413523029 is a deficient number, since it is larger than the sum of its proper divisors (1).

413523029 is an equidigital number, since it uses as much as digits as its factorization.

413523029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 413523029 is about 20335.2656486214. The cubic root of 413523029 is about 745.0176588460.

The spelling of 413523029 in words is "four hundred thirteen million, five hundred twenty-three thousand, twenty-nine".