7820825225 has 6 divisors (see below), whose sum is σ = 9697823310. Its totient is φ = 6256660160.

The previous prime is 7820825209. The next prime is 7820825261. The reversal of 7820825225 is 5225280287.

It can be written as a sum of positive squares in 3 ways, for example, as 2096540944 + 5724284281 = 45788^2 + 75659^2 .

It is not a de Polignac number, because 7820825225 - 2⁴ = 7820825209 is a prime.

It is a super-3 number, since 3×7820825225³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 5 ways as a sum of consecutive naturals, for example, 156416480 + ... + 156416529.

It is an arithmetic number, because the mean of its divisors is an integer number (1616303885).

Almost surely, 2^7820825225 is an apocalyptic number.

It is an amenable number.

7820825225 is a deficient number, since it is larger than the sum of its proper divisors (1876998085).

7820825225 is a wasteful number, since it uses less digits than its factorization.

7820825225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312833019 (or 312833014 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 41.

The square root of 7820825225 is about 88435.4296930817. The cubic root of 7820825225 is about 1984.9558898636.

The spelling of 7820825225 in words is "seven billion, eight hundred twenty million, eight hundred twenty-five thousand, two hundred twenty-five".