414361313 has 2 divisors, whose sum is σ = 414361314. Its totient is φ = 414361312.

The previous prime is 414361301. The next prime is 414361319. The reversal of 414361313 is 313163414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 314601169 + 99760144 = 17737^2 + 9988^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414361313 is a prime.

It is a super-2 number, since 2×414361313² = 343390595422167938, which contains 22 as substring.

It is equal to p_22060682 and since 414361313 and 22060682 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 (414361319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207180656 + 207180657.

It is an arithmetic number, because the mean of its divisors is an integer number (207180657).

Almost surely, 2^414361313 is an apocalyptic number.

It is an amenable number.

414361313 is a deficient number, since it is larger than the sum of its proper divisors (1).

414361313 is an equidigital number, since it uses as much as digits as its factorization.

414361313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592, while the sum is 26.

The square root of 414361313 is about 20355.8667955948. The cubic root of 414361313 is about 745.5207463800.

It can be divided in two parts, 4143 and 61313, that added together give a palindrome (65456).

The spelling of 414361313 in words is "four hundred fourteen million, three hundred sixty-one thousand, three hundred thirteen".