800819163225 has 27 divisors (see below), whose sum is σ = 1434380144223. Its totient is φ = 427096394640.

The previous prime is 800819163211. The next prime is 800819163227. The reversal of 800819163225 is 522361918008.

The square root of 800819163225 is 894885.

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

800819163225 is a `hidden beast` number, since 8 + 0 + 0 + 8 + 1 + 9 + 1 + 632 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 288294898761 + 512524264464 = 536931^2 + 715908^2 .

It is not a de Polignac number, because 800819163225 - 2⁷ = 800819163097 is a prime.

It is a super-2 number, since 2×800819163225² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (800819163227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13393446 + ... + 13453104.

Almost surely, 2^800819163225 is an apocalyptic number.

800819163225 is the 894885-th square number.

800819163225 is the 447443-rd centered octagonal number.

It is an amenable number.

800819163225 is a deficient number, since it is larger than the sum of its proper divisors (633560980998).

800819163225 is an frugal number, since it uses more digits than its factorization.

800819163225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119334 (or 59667 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 800819163225 in words is "eight hundred billion, eight hundred nineteen million, one hundred sixty-three thousand, two hundred twenty-five".