825358821 has 16 divisors (see below), whose sum is σ = 1301059200. Its totient is φ = 455370048.

The previous prime is 825358817. The next prime is 825358843. The reversal of 825358821 is 128853528.

It is not a de Polignac number, because 825358821 - 2² = 825358817 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825358811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677026 + ... + 678243.

It is an arithmetic number, because the mean of its divisors is an integer number (81316200).

Almost surely, 2^825358821 is an apocalyptic number.

It is an amenable number.

825358821 is a deficient number, since it is larger than the sum of its proper divisors (475700379).

825358821 is a wasteful number, since it uses less digits than its factorization.

825358821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355308.

The product of its digits is 153600, while the sum is 42.

The square root of 825358821 is about 28729.0588255167. The cubic root of 825358821 is about 938.0246813775.

The spelling of 825358821 in words is "eight hundred twenty-five million, three hundred fifty-eight thousand, eight hundred twenty-one".