806506151 has 16 divisors (see below), whose sum is σ = 908603520. Its totient is φ = 709521120.

The previous prime is 806506139. The next prime is 806506177. The reversal of 806506151 is 151605608.

It is a happy number.

It is not a de Polignac number, because 806506151 - 2¹⁸ = 806244007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806506951) 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 15 ways as a sum of consecutive naturals, for example, 43736 + ... + 59378.

It is an arithmetic number, because the mean of its divisors is an integer number (56787720).

Almost surely, 2^806506151 is an apocalyptic number.

806506151 is a deficient number, since it is larger than the sum of its proper divisors (102097369).

806506151 is a wasteful number, since it uses less digits than its factorization.

806506151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15806.

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 806506151 is about 28399.0519384010. The cubic root of 806506151 is about 930.8275483640.

The spelling of 806506151 in words is "eight hundred six million, five hundred six thousand, one hundred fifty-one".