413106431 has 2 divisors, whose sum is σ = 413106432. Its totient is φ = 413106430.

The previous prime is 413106401. The next prime is 413106467. The reversal of 413106431 is 134601314.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 413106431 - 2⁶ = 413106367 is a prime.

It is a super-2 number, since 2×413106431² = 341313846667115522, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 413106397 and 413106406.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413106401) 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, 206553215 + 206553216.

It is an arithmetic number, because the mean of its divisors is an integer number (206553216).

Almost surely, 2^413106431 is an apocalyptic number.

413106431 is a deficient number, since it is larger than the sum of its proper divisors (1).

413106431 is an equidigital number, since it uses as much as digits as its factorization.

413106431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 413106431 is about 20325.0198277886. The cubic root of 413106431 is about 744.7673889052.

Adding to 413106431 its reverse (134601314), we get a palindrome (547707745).

The spelling of 413106431 in words is "four hundred thirteen million, one hundred six thousand, four hundred thirty-one".