859579308225 has 135 divisors (see below), whose sum is σ = 1751080826649. Its totient is φ = 416543212800.

The previous prime is 859579308187. The next prime is 859579308277. The reversal of 859579308225 is 522803975958.

The square root of 859579308225 is 927135.

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

859579308225 is a `hidden beast` number, since 8 + 5 + 9 + 579 + 30 + 8 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 411166935729 + 448412372496 = 641223^2 + 669636^2 .

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

It is not a de Polignac number, because 859579308225 - 2¹³ = 859579300033 is a prime.

It is a super-4 number, since 4×859579308225⁴ (a number of 49 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 458930889 + ... + 458932761.

Almost surely, 2^859579308225 is an apocalyptic number.

859579308225 is the 927135-th square number.

859579308225 is the 463568-th centered octagonal number.

It is an amenable number.

859579308225 is an abundant number, since it is smaller than the sum of its proper divisors (891501518424).

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

859579308225 is an equidigital number, since it uses as much as digits as its factorization.

859579308225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 859579308225 in words is "eight hundred fifty-nine billion, five hundred seventy-nine million, three hundred eight thousand, two hundred twenty-five".