413051141 has 2 divisors, whose sum is σ = 413051142. Its totient is φ = 413051140.

The previous prime is 413051129. The next prime is 413051213. The reversal of 413051141 is 141150314.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 409900516 + 3150625 = 20246^2 + 1775^2 .

It is a cyclic number.

It is not a de Polignac number, because 413051141 - 2¹⁸ = 412788997 is a prime.

It is a super-2 number, since 2×413051141² = 341222490162803762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413051341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206525570 + 206525571.

It is an arithmetic number, because the mean of its divisors is an integer number (206525571).

Almost surely, 2^413051141 is an apocalyptic number.

It is an amenable number.

413051141 is a deficient number, since it is larger than the sum of its proper divisors (1).

413051141 is an equidigital number, since it uses as much as digits as its factorization.

413051141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 413051141 is about 20323.6596360006. The cubic root of 413051141 is about 744.7341609660.

The spelling of 413051141 in words is "four hundred thirteen million, fifty-one thousand, one hundred forty-one".