820625825 has 12 divisors (see below), whose sum is σ = 1020795900. Its totient is φ = 654423360.

The previous prime is 820625821. The next prime is 820625833. The reversal of 820625825 is 528526028.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 206180881 + 614444944 = 14359^2 + 24788^2 .

It is not a de Polignac number, because 820625825 - 2² = 820625821 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (820625821) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 43850 + ... + 59699.

It is an arithmetic number, because the mean of its divisors is an integer number (85066325).

Almost surely, 2^820625825 is an apocalyptic number.

It is an amenable number.

820625825 is a deficient number, since it is larger than the sum of its proper divisors (200170075).

820625825 is a wasteful number, since it uses less digits than its factorization.

820625825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103876 (or 103871 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 820625825 is about 28646.5674208970. The cubic root of 820625825 is about 936.2282180407.

The spelling of 820625825 in words is "eight hundred twenty million, six hundred twenty-five thousand, eight hundred twenty-five".