705675602025 has 27 divisors (see below), whose sum is σ = 1263965981239. Its totient is φ = 376353600720.

The previous prime is 705675601987. The next prime is 705675602041. The reversal of 705675602025 is 520206576507.

The square root of 705675602025 is 840045.

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

705675602025 is a `hidden beast` number, since 7 + 0 + 5 + 67 + 560 + 2 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 254043216729 + 451632385296 = 504027^2 + 672036^2 .

It is not a de Polignac number, because 705675602025 - 2²³ = 705667213417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 26 ways as a sum of consecutive naturals, for example, 12572674 + ... + 12628676.

Almost surely, 2^705675602025 is an apocalyptic number.

705675602025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

705675602025 is the 840045-th square number.

705675602025 is the 420023-rd centered octagonal number.

It is an amenable number.

705675602025 is a deficient number, since it is larger than the sum of its proper divisors (558290379214).

705675602025 is an frugal number, since it uses more digits than its factorization.

705675602025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112022 (or 56011 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 705675602025 in words is "seven hundred five billion, six hundred seventy-five million, six hundred two thousand, twenty-five".