2806350625 has 45 divisors (see below), whose sum is σ = 3820760559. Its totient is φ = 2059668000.

The previous prime is 2806350587. The next prime is 2806350643. The reversal of 2806350625 is 5260536082.

2806350625 = 1³ + 2³ + ... + 325³.

It is a happy number.

The square root of 2806350625 is 52975.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2771917201 + 34433424 = 52649^2 + 5868^2 .

It is not a de Polignac number, because 2806350625 - 2¹¹ = 2806348577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 17216794 + ... + 17216956.

Almost surely, 2^2806350625 is an apocalyptic number.

2806350625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2806350625 is the 52975-th square number.

2806350625 is the 26488-th centered octagonal number.

It is an amenable number.

2806350625 is a deficient number, since it is larger than the sum of its proper divisors (1014409934).

2806350625 is an frugal number, since it uses more digits than its factorization.

2806350625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The cubic root of 2806350625 is about 1410.5245311342.

The spelling of 2806350625 in words is "two billion, eight hundred six million, three hundred fifty thousand, six hundred twenty-five".