808300253 has 2 divisors, whose sum is σ = 808300254. Its totient is φ = 808300252.

The previous prime is 808300243. The next prime is 808300279. The reversal of 808300253 is 352003808.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 558755044 + 249545209 = 23638^2 + 15797^2 .

It is a cyclic number.

It is not a de Polignac number, because 808300253 - 2⁶ = 808300189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (808300243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 404150126 + 404150127.

It is an arithmetic number, because the mean of its divisors is an integer number (404150127).

Almost surely, 2^808300253 is an apocalyptic number.

It is an amenable number.

808300253 is a deficient number, since it is larger than the sum of its proper divisors (1).

808300253 is an equidigital number, since it uses as much as digits as its factorization.

808300253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 808300253 is about 28430.6217483895. The cubic root of 808300253 is about 931.5172569990.

The spelling of 808300253 in words is "eight hundred eight million, three hundred thousand, two hundred fifty-three".