413435137 has 2 divisors, whose sum is σ = 413435138. Its totient is φ = 413435136.

The previous prime is 413435123. The next prime is 413435173. The reversal of 413435137 is 731534314.

Together with next prime (413435173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 363436096 + 49999041 = 19064^2 + 7071^2 .

It is a cyclic number.

It is not a de Polignac number, because 413435137 - 2²³ = 405046529 is a prime.

It is a super-2 number, since 2×413435137² = 341857225012417538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413435099 and 413435108.

It is not a weakly prime, because it can be changed into another prime (413435177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206717568 + 206717569.

It is an arithmetic number, because the mean of its divisors is an integer number (206717569).

Almost surely, 2^413435137 is an apocalyptic number.

It is an amenable number.

413435137 is a deficient number, since it is larger than the sum of its proper divisors (1).

413435137 is an equidigital number, since it uses as much as digits as its factorization.

413435137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15120, while the sum is 31.

The square root of 413435137 is about 20333.1044604605. The cubic root of 413435137 is about 744.9648719980.

The spelling of 413435137 in words is "four hundred thirteen million, four hundred thirty-five thousand, one hundred thirty-seven".