413055301 has 2 divisors, whose sum is σ = 413055302. Its totient is φ = 413055300.

The previous prime is 413055287. The next prime is 413055311. The reversal of 413055301 is 103550314.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219010401 + 194044900 = 14799^2 + 13930^2 .

It is a cyclic number.

It is not a de Polignac number, because 413055301 - 2¹³ = 413047109 is a prime.

It is a super-2 number, since 2×413055301² = 341229363368401202, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413055311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206527650 + 206527651.

It is an arithmetic number, because the mean of its divisors is an integer number (206527651).

Almost surely, 2^413055301 is an apocalyptic number.

It is an amenable number.

413055301 is a deficient number, since it is larger than the sum of its proper divisors (1).

413055301 is an equidigital number, since it uses as much as digits as its factorization.

413055301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 413055301 is about 20323.7619795155. The cubic root of 413055301 is about 744.7366611275.

The spelling of 413055301 in words is "four hundred thirteen million, fifty-five thousand, three hundred one".