241311825225 has 27 divisors (see below), whose sum is σ = 432229489653. Its totient is φ = 128695710240.

The previous prime is 241311825203. The next prime is 241311825229. The reversal of 241311825225 is 522528113142.

The square root of 241311825225 is 491235.

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

241311825225 is a `hidden beast` number, since 2 + 4 + 13 + 118 + 2 + 522 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36168052041 + 205143773184 = 190179^2 + 452928^2 .

It is a de Polignac number, because none of the positive numbers 2^k-241311825225 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 241311825225.

It is not an unprimeable number, because it can be changed into a prime (241311825229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7352151 + ... + 7384899.

Almost surely, 2^241311825225 is an apocalyptic number.

241311825225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

241311825225 is the 491235-th square number.

241311825225 is the 245618-th centered octagonal number.

It is an amenable number.

241311825225 is a deficient number, since it is larger than the sum of its proper divisors (190917664428).

241311825225 is an frugal number, since it uses more digits than its factorization.

241311825225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65514 (or 32757 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

Multiplying 241311825225 by its sum of digits (36), we get a square (8687225708100 = 2947410²).

Adding to 241311825225 its reverse (522528113142), we get a palindrome (763839938367).

The spelling of 241311825225 in words is "two hundred forty-one billion, three hundred eleven million, eight hundred twenty-five thousand, two hundred twenty-five".