882425390625 has 135 divisors (see below), whose sum is σ = 1657663702057. Its totient is φ = 467808750000.

The previous prime is 882425390599. The next prime is 882425390689. The reversal of 882425390625 is 526093524288.

The square root of 882425390625 is 939375.

It is a perfect power (a square), and thus also a powerful number.

882425390625 is a `hidden beast` number, since 8 + 8 + 2 + 4 + 2 + 5 + 3 + 9 + 0 + 625 = 666.

882425390625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 627392310561 + 255033080064 = 792081^2 + 505008^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 882425390625 - 2²⁹ = 881888519713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5283984292 + ... + 5283984458.

Almost surely, 2^882425390625 is an apocalyptic number.

882425390625 is the 939375-th square number.

882425390625 is the 469688-th centered octagonal number.

It is an amenable number.

882425390625 is a deficient number, since it is larger than the sum of its proper divisors (775238311432).

882425390625 is an frugal number, since it uses more digits than its factorization.

882425390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 882425390625 in words is "eight hundred eighty-two billion, four hundred twenty-five million, three hundred ninety thousand, six hundred twenty-five".