705927638025 has 45 divisors (see below), whose sum is σ = 1307692048663. Its totient is φ = 376474575600.

The previous prime is 705927637999. The next prime is 705927638071. The reversal of 705927638025 is 520836729507.

The square root of 705927638025 is 840195.

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

It can be written as a sum of positive squares in only one way, i.e., 254133949689 + 451793688336 = 504117^2 + 672156^2 .

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

It is not a de Polignac number, because 705927638025 - 2²⁵ = 705894083593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 37799440 + ... + 37818110.

Almost surely, 2^705927638025 is an apocalyptic number.

705927638025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

705927638025 is the 840195-th square number.

705927638025 is the 420098-th centered octagonal number.

It is an amenable number.

705927638025 is a deficient number, since it is larger than the sum of its proper divisors (601764410638).

705927638025 is an frugal number, since it uses more digits than its factorization.

705927638025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37364 (or 18679 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 705927638025 in words is "seven hundred five billion, nine hundred twenty-seven million, six hundred thirty-eight thousand, twenty-five".