241783641225 has 225 divisors, whose sum is σ = 524833742103. Its totient is φ = 110034015840.

The previous prime is 241783641191. The next prime is 241783641241. The reversal of 241783641225 is 522146387142.

The square root of 241783641225 is 491715.

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

241783641225 is a `hidden beast` number, since 2 + 417 + 8 + 3 + 6 + 4 + 1 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87042110841 + 154741530384 = 295029^2 + 393372^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 241783641225 - 2⁹ = 241783640713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1084231464 + ... + 1084231686.

Almost surely, 2^241783641225 is an apocalyptic number.

241783641225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

241783641225 is the 491715-th square number.

241783641225 is the 245858-th centered octagonal number.

It is an amenable number.

241783641225 is an abundant number, since it is smaller than the sum of its proper divisors (283050100878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241783641225 is an frugal number, since it uses more digits than its factorization.

241783641225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 238 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 241783641225 in words is "two hundred forty-one billion, seven hundred eighty-three million, six hundred forty-one thousand, two hundred twenty-five".