413015413 has 2 divisors, whose sum is σ = 413015414. Its totient is φ = 413015412.

The previous prime is 413015411. The next prime is 413015417. The reversal of 413015413 is 314510314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 331167204 + 81848209 = 18198^2 + 9047^2 .

It is a cyclic number.

It is not a de Polignac number, because 413015413 - 2¹ = 413015411 is a prime.

Together with 413015411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413015411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206507706 + 206507707.

It is an arithmetic number, because the mean of its divisors is an integer number (206507707).

Almost surely, 2^413015413 is an apocalyptic number.

It is an amenable number.

413015413 is a deficient number, since it is larger than the sum of its proper divisors (1).

413015413 is an equidigital number, since it uses as much as digits as its factorization.

413015413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 413015413 is about 20322.7806414378. The cubic root of 413015413 is about 744.7126877337.

Adding to 413015413 its reverse (314510314), we get a palindrome (727525727).

The spelling of 413015413 in words is "four hundred thirteen million, fifteen thousand, four hundred thirteen".