806107253 has 16 divisors (see below), whose sum is σ = 937797120. Its totient is φ = 678585600.

The previous prime is 806107249. The next prime is 806107259. The reversal of 806107253 is 352701608.

It is a happy number.

It is not a de Polignac number, because 806107253 - 2² = 806107249 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806107259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429908 + ... + 431778.

It is an arithmetic number, because the mean of its divisors is an integer number (58612320).

Almost surely, 2^806107253 is an apocalyptic number.

It is an amenable number.

806107253 is a deficient number, since it is larger than the sum of its proper divisors (131689867).

806107253 is a wasteful number, since it uses less digits than its factorization.

806107253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 806107253 is about 28392.0279832209. The cubic root of 806107253 is about 930.6740605988.

The spelling of 806107253 in words is "eight hundred six million, one hundred seven thousand, two hundred fifty-three".