816259625 has 16 divisors (see below), whose sum is σ = 1037921040. Its totient is φ = 640681600.

The previous prime is 816259621. The next prime is 816259649. The reversal of 816259625 is 526952618.

It can be written as a sum of positive squares in 8 ways, for example, as 162537001 + 653722624 = 12749^2 + 25568^2 .

It is not a de Polignac number, because 816259625 - 2² = 816259621 is a prime.

It is not an unprimeable number, because it can be changed into a prime (816259621) 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, 54980 + ... + 68229.

It is an arithmetic number, because the mean of its divisors is an integer number (64870065).

Almost surely, 2^816259625 is an apocalyptic number.

It is an amenable number.

816259625 is a deficient number, since it is larger than the sum of its proper divisors (221661415).

816259625 is a wasteful number, since it uses less digits than its factorization.

816259625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123277 (or 123267 counting only the distinct ones).

The product of its digits is 259200, while the sum is 44.

The square root of 816259625 is about 28570.2576992228. The cubic root of 816259625 is about 934.5648408277.

The spelling of 816259625 in words is "eight hundred sixteen million, two hundred fifty-nine thousand, six hundred twenty-five".