241537846225 has 27 divisors (see below), whose sum is σ = 324361053459. Its totient is φ = 178342819200.

The previous prime is 241537846127. The next prime is 241537846267. The reversal of 241537846225 is 522648735142.

The square root of 241537846225 is 491465.

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

241537846225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 241412047569 + 125798656 = 491337^2 + 11216^2 .

It is not a de Polignac number, because 241537846225 - 2⁹ = 241537845713 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31941445 + ... + 31949005.

Almost surely, 2^241537846225 is an apocalyptic number.

241537846225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

241537846225 is the 491465-th square number.

241537846225 is the 245733-rd centered octagonal number.

It is an amenable number.

241537846225 is a deficient number, since it is larger than the sum of its proper divisors (82823207234).

241537846225 is an frugal number, since it uses more digits than its factorization.

241537846225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15158 (or 7579 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 49.

Multiplying 241537846225 by its sum of digits (49), we get a square (11835354465025 = 3440255²).

The spelling of 241537846225 in words is "two hundred forty-one billion, five hundred thirty-seven million, eight hundred forty-six thousand, two hundred twenty-five".