806309253 has 12 divisors (see below), whose sum is σ = 1173171948. Its totient is φ = 533615040.

The previous prime is 806309249. The next prime is 806309263. The reversal of 806309253 is 352903608.

It can be written as a sum of positive squares in 2 ways, for example, as 394300449 + 412008804 = 19857^2 + 20298^2 .

It is not a de Polignac number, because 806309253 - 2² = 806309249 is a prime.

It is a super-2 number, since 2×806309253² = 1300269222946836018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806309263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325738 + ... + 328203.

It is an arithmetic number, because the mean of its divisors is an integer number (97764329).

Almost surely, 2^806309253 is an apocalyptic number.

It is an amenable number.

806309253 is a deficient number, since it is larger than the sum of its proper divisors (366862695).

806309253 is a wasteful number, since it uses less digits than its factorization.

806309253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654084 (or 654081 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 806309253 is about 28395.5850969829. The cubic root of 806309253 is about 930.7517923806.

The spelling of 806309253 in words is "eight hundred six million, three hundred nine thousand, two hundred fifty-three".