413310257 has 2 divisors, whose sum is σ = 413310258. Its totient is φ = 413310256.

The previous prime is 413310199. The next prime is 413310311. The reversal of 413310257 is 752013314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 398441521 + 14868736 = 19961^2 + 3856^2 .

It is a cyclic number.

It is not a de Polignac number, because 413310257 - 2¹⁸ = 413048113 is a prime.

It is a Chen prime.

It is equal to p_22007564 and since 413310257 and 22007564 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (413315257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206655128 + 206655129.

It is an arithmetic number, because the mean of its divisors is an integer number (206655129).

Almost surely, 2^413310257 is an apocalyptic number.

It is an amenable number.

413310257 is a deficient number, since it is larger than the sum of its proper divisors (1).

413310257 is an equidigital number, since it uses as much as digits as its factorization.

413310257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 413310257 is about 20330.0333742963. The cubic root of 413310257 is about 744.8898577469.

The spelling of 413310257 in words is "four hundred thirteen million, three hundred ten thousand, two hundred fifty-seven".