419257253 has 2 divisors, whose sum is σ = 419257254. Its totient is φ = 419257252.

The previous prime is 419257231. The next prime is 419257259. The reversal of 419257253 is 352752914.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 278289124 + 140968129 = 16682^2 + 11873^2 .

It is a cyclic number.

It is not a de Polignac number, because 419257253 - 2²⁶ = 352148389 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (419257259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 209628626 + 209628627.

It is an arithmetic number, because the mean of its divisors is an integer number (209628627).

Almost surely, 2^419257253 is an apocalyptic number.

It is an amenable number.

419257253 is a deficient number, since it is larger than the sum of its proper divisors (1).

419257253 is an equidigital number, since it uses as much as digits as its factorization.

419257253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 75600, while the sum is 38.

The square root of 419257253 is about 20475.7723419655. The cubic root of 419257253 is about 748.4455228789.

The spelling of 419257253 in words is "four hundred nineteen million, two hundred fifty-seven thousand, two hundred fifty-three".