255707205625 has 45 divisors (see below), whose sum is σ = 324195554683. Its totient is φ = 201622736000.

The previous prime is 255707205617. The next prime is 255707205631. The reversal of 255707205625 is 526502707552.

The square root of 255707205625 is 505675.

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

It can be written as a sum of positive squares in 7 ways, for example, as 249947002809 + 5760202816 = 499947^2 + 75896^2 .

It is not a de Polignac number, because 255707205625 - 2³ = 255707205617 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 (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1428531786 + ... + 1428531964.

Almost surely, 2^255707205625 is an apocalyptic number.

255707205625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

255707205625 is the 505675-th square number.

255707205625 is the 252838-th centered octagonal number.

It is an amenable number.

255707205625 is a deficient number, since it is larger than the sum of its proper divisors (68488349058).

255707205625 is an frugal number, since it uses more digits than its factorization.

255707205625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1470000, while the sum is 46.

The spelling of 255707205625 in words is "two hundred fifty-five billion, seven hundred seven million, two hundred five thousand, six hundred twenty-five".