806503201 has 9 divisors (see below), whose sum is σ = 938408499. Its totient is φ = 691118064.

The previous prime is 806503199. The next prime is 806503249. The reversal of 806503201 is 102305608.

It is a happy number.

The square root of 806503201 is 28399.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 413512225 + 392990976 = 20335^2 + 19824^2 .

It is not a de Polignac number, because 806503201 - 2¹ = 806503199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (806503301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 196765 + ... + 200821.

It is an arithmetic number, because the mean of its divisors is an integer number (104267611).

Almost surely, 2^806503201 is an apocalyptic number.

806503201 is the 28399-th square number.

806503201 is the 14200-th centered octagonal number.

It is an amenable number.

806503201 is a deficient number, since it is larger than the sum of its proper divisors (131905298).

806503201 is an frugal number, since it uses more digits than its factorization.

806503201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8128 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The cubic root of 806503201 is about 930.8264134503.

Multiplying 806503201 by its sum of digits (25), we get a square (20162580025 = 141995²).

Adding to 806503201 its reverse (102305608), we get a palindrome (908808809).

The spelling of 806503201 in words is "eight hundred six million, five hundred three thousand, two hundred one".