413521331 has 2 divisors, whose sum is σ = 413521332. Its totient is φ = 413521330.

The previous prime is 413521289. The next prime is 413521333. The reversal of 413521331 is 133125314.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 413521331 - 2²² = 409327027 is a prime.

It is a super-2 number, since 2×413521331² = 341999782384023122, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 413521333, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 413521297 and 413521306.

It is not a weakly prime, because it can be changed into another prime (413521333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206760665 + 206760666.

It is an arithmetic number, because the mean of its divisors is an integer number (206760666).

Almost surely, 2^413521331 is an apocalyptic number.

413521331 is a deficient number, since it is larger than the sum of its proper divisors (1).

413521331 is an equidigital number, since it uses as much as digits as its factorization.

413521331 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1080, while the sum is 23.

The square root of 413521331 is about 20335.2238984477. The cubic root of 413521331 is about 745.0166391191.

Adding to 413521331 its reverse (133125314), we get a palindrome (546646645).

The spelling of 413521331 in words is "four hundred thirteen million, five hundred twenty-one thousand, three hundred thirty-one".