254343705625 has 15 divisors (see below), whose sum is σ = 317843650443. Its totient is φ = 203464878000.

The previous prime is 254343705601. The next prime is 254343705647. The reversal of 254343705625 is 526507343452.

The square root of 254343705625 is 504325.

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 26092910089 + 228250795536 = 161533^2 + 477756^2 .

It is not a de Polignac number, because 254343705625 - 2⁹ = 254343705113 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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 14 ways as a sum of consecutive naturals, for example, 12598039 + ... + 12618211.

Almost surely, 2^254343705625 is an apocalyptic number.

254343705625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

254343705625 is the 504325-th square number.

254343705625 is the 252163-rd centered octagonal number.

It is an amenable number.

254343705625 is a deficient number, since it is larger than the sum of its proper divisors (63499944818).

254343705625 is an frugal number, since it uses more digits than its factorization.

254343705625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40366 (or 20178 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 46.

The spelling of 254343705625 in words is "two hundred fifty-four billion, three hundred forty-three million, seven hundred five thousand, six hundred twenty-five".