8212890625 has 33 divisors (see below), whose sum is σ = 10632324001. Its totient is φ = 6343750000.

The previous prime is 8212890613. The next prime is 8212890691. The reversal of 8212890625 is 5260982128.

The square root of 8212890625 is 90625.

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

It can be written as a sum of positive squares in 16 ways, for example, as 3288219649 + 4924670976 = 57343^2 + 70176^2 .

It is an automorphic number since its square, 67451572418212890625, ends in 8212890625.

It is a trimorphic number since its cube, 553972386755049228668212890625, ends in 8212890625.

It is a de Polignac number, because none of the positive numbers 2^k-8212890625 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 32 ways as a sum of consecutive naturals, for example, 283203111 + ... + 283203139.

Almost surely, 2^8212890625 is an apocalyptic number.

8212890625 is the 90625-th square number.

8212890625 is the 45313-rd centered octagonal number.

It is an amenable number.

8212890625 is a deficient number, since it is larger than the sum of its proper divisors (2419433376).

8212890625 is an frugal number, since it uses more digits than its factorization.

8212890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The cubic root of 8212890625 is about 2017.5858019849.

The spelling of 8212890625 in words is "eight billion, two hundred twelve million, eight hundred ninety thousand, six hundred twenty-five".