413067101 has 2 divisors, whose sum is σ = 413067102. Its totient is φ = 413067100.

The previous prime is 413067091. The next prime is 413067197. The reversal of 413067101 is 101760314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 356832100 + 56235001 = 18890^2 + 7499^2 .

It is a cyclic number.

It is not a de Polignac number, because 413067101 - 2¹⁸ = 412804957 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413567101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206533550 + 206533551.

It is an arithmetic number, because the mean of its divisors is an integer number (206533551).

Almost surely, 2^413067101 is an apocalyptic number.

It is an amenable number.

413067101 is a deficient number, since it is larger than the sum of its proper divisors (1).

413067101 is an equidigital number, since it uses as much as digits as its factorization.

413067101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 413067101 is about 20324.0522780276. The cubic root of 413067101 is about 744.7437528405.

The spelling of 413067101 in words is "four hundred thirteen million, sixty-seven thousand, one hundred one".