821625525 has 108 divisors (see below), whose sum is σ = 1756783392. Its totient is φ = 372898080.

The previous prime is 821625523. The next prime is 821625529. The reversal of 821625525 is 525526128.

It is a happy number.

821625525 is a `hidden beast` number, since 8 + 2 + 1 + 625 + 5 + 25 = 666.

It is not a de Polignac number, because 821625525 - 2¹ = 821625523 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 821625525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821625523) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5910906 + ... + 5911044.

Almost surely, 2^821625525 is an apocalyptic number.

It is an amenable number.

821625525 is an abundant number, since it is smaller than the sum of its proper divisors (935157867).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

821625525 is an equidigital number, since it uses as much as digits as its factorization.

821625525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 154 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 821625525 is about 28664.0109719488. The cubic root of 821625525 is about 936.6082400174.

The spelling of 821625525 in words is "eight hundred twenty-one million, six hundred twenty-five thousand, five hundred twenty-five".