411413021 has 2 divisors, whose sum is σ = 411413022. Its totient is φ = 411413020.

The previous prime is 411412957. The next prime is 411413033. The reversal of 411413021 is 120314114.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 395452996 + 15960025 = 19886^2 + 3995^2 .

It is a cyclic number.

It is not a de Polignac number, because 411413021 - 2⁶ = 411412957 is a prime.

It is a super-3 number, since 3×411413021³ (a number of 27 digits) contains 333 as substring.

It is equal to p_21912020 and since 411413021 and 21912020 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (411413081) 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, 205706510 + 205706511.

It is an arithmetic number, because the mean of its divisors is an integer number (205706511).

Almost surely, 2^411413021 is an apocalyptic number.

It is an amenable number.

411413021 is a deficient number, since it is larger than the sum of its proper divisors (1).

411413021 is an equidigital number, since it uses as much as digits as its factorization.

411413021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 411413021 is about 20283.3187866286. The cubic root of 411413021 is about 743.7483425710.

Adding to 411413021 its reverse (120314114), we get a palindrome (531727135).

The spelling of 411413021 in words is "four hundred eleven million, four hundred thirteen thousand, twenty-one".