419638601 has 2 divisors, whose sum is σ = 419638602. Its totient is φ = 419638600.

The previous prime is 419638561. The next prime is 419638603. The reversal of 419638601 is 106836914.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 405015625 + 14622976 = 20125^2 + 3824^2 .

It is a cyclic number.

It is not a de Polignac number, because 419638601 - 2¹⁰ = 419637577 is a prime.

It is a Sophie Germain prime.

Together with 419638603, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (419638603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 209819300 + 209819301.

It is an arithmetic number, because the mean of its divisors is an integer number (209819301).

Almost surely, 2^419638601 is an apocalyptic number.

It is an amenable number.

419638601 is a deficient number, since it is larger than the sum of its proper divisors (1).

419638601 is an equidigital number, since it uses as much as digits as its factorization.

419638601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 419638601 is about 20485.0824015917. The cubic root of 419638601 is about 748.6723777976.

The spelling of 419638601 in words is "four hundred nineteen million, six hundred thirty-eight thousand, six hundred one".