831278945025 has 45 divisors (see below), whose sum is σ = 1539891964633. Its totient is φ = 443326888800.

The previous prime is 831278945023. The next prime is 831278945047. The reversal of 831278945025 is 520549872138.

The square root of 831278945025 is 911745.

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

831278945025 is a `hidden beast` number, since 8 + 3 + 127 + 8 + 9 + 4 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 442681307649 + 388597637376 = 665343^2 + 623376^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 831278945025 - 2¹ = 831278945023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (831278945023) 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 44 ways as a sum of consecutive naturals, for example, 41018395 + ... + 41038655.

Almost surely, 2^831278945025 is an apocalyptic number.

831278945025 is the 911745-th square number.

831278945025 is the 455873-rd centered octagonal number.

It is an amenable number.

831278945025 is a deficient number, since it is larger than the sum of its proper divisors (708613019608).

831278945025 is an frugal number, since it uses more digits than its factorization.

831278945025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40544 (or 20269 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 831278945025 in words is "eight hundred thirty-one billion, two hundred seventy-eight million, nine hundred forty-five thousand, twenty-five".