413131897 has 2 divisors, whose sum is σ = 413131898. Its totient is φ = 413131896.

The previous prime is 413131871. The next prime is 413131903. The reversal of 413131897 is 798131314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302377321 + 110754576 = 17389^2 + 10524^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413131897 is a prime.

It is not a weakly prime, because it can be changed into another prime (413131837) 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, 206565948 + 206565949.

It is an arithmetic number, because the mean of its divisors is an integer number (206565949).

Almost surely, 2^413131897 is an apocalyptic number.

It is an amenable number.

413131897 is a deficient number, since it is larger than the sum of its proper divisors (1).

413131897 is an equidigital number, since it uses as much as digits as its factorization.

413131897 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 37.

The square root of 413131897 is about 20325.6462873878. The cubic root of 413131897 is about 744.7826923518.

The spelling of 413131897 in words is "four hundred thirteen million, one hundred thirty-one thousand, eight hundred ninety-seven".