821053125 has 96 divisors (see below), whose sum is σ = 1567399680. Its totient is φ = 424440000.

The previous prime is 821053109. The next prime is 821053127. The reversal of 821053125 is 521350128.

It is a happy number.

It is not a de Polignac number, because 821053125 - 2⁴ = 821053109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821053127) 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 95 ways as a sum of consecutive naturals, for example, 3121744 + ... + 3122006.

It is an arithmetic number, because the mean of its divisors is an integer number (16327080).

Almost surely, 2^821053125 is an apocalyptic number.

It is an amenable number.

821053125 is a deficient number, since it is larger than the sum of its proper divisors (746346555).

821053125 is an equidigital number, since it uses as much as digits as its factorization.

821053125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 821053125 is about 28654.0245864346. The cubic root of 821053125 is about 936.3906879062.

The spelling of 821053125 in words is "eight hundred twenty-one million, fifty-three thousand, one hundred twenty-five".