413071129 has 2 divisors, whose sum is σ = 413071130. Its totient is φ = 413071128.

The previous prime is 413071123. The next prime is 413071159. The reversal of 413071129 is 921170314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 367872400 + 45198729 = 19180^2 + 6723^2 .

It is a cyclic number.

It is not a de Polignac number, because 413071129 - 2³ = 413071121 is a prime.

It is a super-2 number, since 2×413071129² = 341255515226669282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413071097 and 413071106.

It is not a weakly prime, because it can be changed into another prime (413071121) 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, 206535564 + 206535565.

It is an arithmetic number, because the mean of its divisors is an integer number (206535565).

Almost surely, 2^413071129 is an apocalyptic number.

It is an amenable number.

413071129 is a deficient number, since it is larger than the sum of its proper divisors (1).

413071129 is an equidigital number, since it uses as much as digits as its factorization.

413071129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 413071129 is about 20324.1513721976. The cubic root of 413071129 is about 744.7461736079.

It can be divided in two parts, 41307 and 1129, that added together give a square (42436 = 206²).

The spelling of 413071129 in words is "four hundred thirteen million, seventy-one thousand, one hundred twenty-nine".