821125725 has 24 divisors (see below), whose sum is σ = 1551537600. Its totient is φ = 375371520.

The previous prime is 821125699. The next prime is 821125727. The reversal of 821125725 is 527521128.

821125725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 821125725 - 2⁸ = 821125469 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821125727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781500 + ... + 782549.

It is an arithmetic number, because the mean of its divisors is an integer number (64647400).

Almost surely, 2^821125725 is an apocalyptic number.

It is an amenable number.

821125725 is a deficient number, since it is larger than the sum of its proper divisors (730411875).

821125725 is a wasteful number, since it uses less digits than its factorization.

821125725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564069 (or 1564064 counting only the distinct ones).

The product of its digits is 11200, while the sum is 33.

The square root of 821125725 is about 28655.2913961802. The cubic root of 821125725 is about 936.4182865914.

The spelling of 821125725 in words is "eight hundred twenty-one million, one hundred twenty-five thousand, seven hundred twenty-five".