413056529 has 2 divisors, whose sum is σ = 413056530. Its totient is φ = 413056528.

The previous prime is 413056439. The next prime is 413056537. The reversal of 413056529 is 925650314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 337714129 + 75342400 = 18377^2 + 8680^2 .

It is a cyclic number.

It is not a de Polignac number, because 413056529 - 2¹² = 413052433 is a prime.

It is a super-3 number, since 3×413056529³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (413056129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206528264 + 206528265.

It is an arithmetic number, because the mean of its divisors is an integer number (206528265).

Almost surely, 2^413056529 is an apocalyptic number.

It is an amenable number.

413056529 is a deficient number, since it is larger than the sum of its proper divisors (1).

413056529 is an equidigital number, since it uses as much as digits as its factorization.

413056529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 413056529 is about 20323.7921904353. The cubic root of 413056529 is about 744.7373991528.

The spelling of 413056529 in words is "four hundred thirteen million, fifty-six thousand, five hundred twenty-nine".