413981521 has 2 divisors, whose sum is σ = 413981522. Its totient is φ = 413981520.

The previous prime is 413981483. The next prime is 413981587. The reversal of 413981521 is 125189314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 283450896 + 130530625 = 16836^2 + 11425^2 .

It is a cyclic number.

It is not a de Polignac number, because 413981521 - 2¹⁷ = 413850449 is a prime.

It is not a weakly prime, because it can be changed into another prime (413981591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206990760 + 206990761.

It is an arithmetic number, because the mean of its divisors is an integer number (206990761).

Almost surely, 2^413981521 is an apocalyptic number.

It is an amenable number.

413981521 is a deficient number, since it is larger than the sum of its proper divisors (1).

413981521 is an equidigital number, since it uses as much as digits as its factorization.

413981521 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8640, while the sum is 34.

The square root of 413981521 is about 20346.5358476572. The cubic root of 413981521 is about 745.2929022599.

It can be divided in two parts, 41 and 3981521, that multiplied together give a palindrome (163242361).

The spelling of 413981521 in words is "four hundred thirteen million, nine hundred eighty-one thousand, five hundred twenty-one".