241056450625 has 45 divisors (see below), whose sum is σ = 309396182623. Its totient is φ = 187748840000.

The previous prime is 241056450623. The next prime is 241056450643. The reversal of 241056450625 is 526054650142.

It is a happy number.

The square root of 241056450625 is 490975.

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 240116660289 + 939790336 = 490017^2 + 30656^2 .

It is not a de Polignac number, because 241056450625 - 2¹ = 241056450623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (241056450623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 503249136 + ... + 503249614.

Almost surely, 2^241056450625 is an apocalyptic number.

241056450625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

241056450625 is the 490975-th square number.

241056450625 is the 245488-th centered octagonal number.

It is an amenable number.

241056450625 is a deficient number, since it is larger than the sum of its proper divisors (68339731998).

241056450625 is an frugal number, since it uses more digits than its factorization.

241056450625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 241056450625 in words is "two hundred forty-one billion, fifty-six million, four hundred fifty thousand, six hundred twenty-five".