705406813225 has 81 divisors (see below), whose sum is σ = 956368364493. Its totient is φ = 516025344000.

The previous prime is 705406813207. The next prime is 705406813231. The reversal of 705406813225 is 522318604507.

The square root of 705406813225 is 839885.

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

It can be written as a sum of positive squares in 40 ways, for example, as 690406442649 + 15000370576 = 830907^2 + 122476^2 .

It is not a de Polignac number, because 705406813225 - 2⁹ = 705406812713 is a prime.

It is a Duffinian number.

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 80 ways as a sum of consecutive naturals, for example, 2926999105 + ... + 2926999345.

Almost surely, 2^705406813225 is an apocalyptic number.

705406813225 is the 839885-th square number.

705406813225 is the 419943-rd centered octagonal number.

It is an amenable number.

705406813225 is a deficient number, since it is larger than the sum of its proper divisors (250961551268).

705406813225 is an equidigital number, since it uses as much as digits as its factorization.

705406813225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 705406813225 in words is "seven hundred five billion, four hundred six million, eight hundred thirteen thousand, two hundred twenty-five".