413772013 has 2 divisors, whose sum is σ = 413772014. Its totient is φ = 413772012.

The previous prime is 413771989. The next prime is 413772017. The reversal of 413772013 is 310277314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 407151684 + 6620329 = 20178^2 + 2573^2 .

It is a cyclic number.

It is not a de Polignac number, because 413772013 - 2¹³ = 413763821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413772017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206886006 + 206886007.

It is an arithmetic number, because the mean of its divisors is an integer number (206886007).

Almost surely, 2^413772013 is an apocalyptic number.

It is an amenable number.

413772013 is a deficient number, since it is larger than the sum of its proper divisors (1).

413772013 is an equidigital number, since it uses as much as digits as its factorization.

413772013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 413772013 is about 20341.3867029758. The cubic root of 413772013 is about 745.1671549616.

The spelling of 413772013 in words is "four hundred thirteen million, seven hundred seventy-two thousand, thirteen".