242817345225 has 405 divisors, whose sum is σ = 578264212773. Its totient is φ = 97070762880.

The previous prime is 242817345223. The next prime is 242817345229. The reversal of 242817345225 is 522543718242.

The square root of 242817345225 is 492765.

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

242817345225 is a `hidden beast` number, since 2 + 4 + 2 + 8 + 173 + 452 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62586529929 + 180230815296 = 250173^2 + 424536^2 .

It is not a de Polignac number, because 242817345225 - 2¹ = 242817345223 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (242817345223) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 12779860266 + ... + 12779860284.

Almost surely, 2^242817345225 is an apocalyptic number.

242817345225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

242817345225 is the 492765-th square number.

242817345225 is the 246383-rd centered octagonal number.

It is an amenable number.

242817345225 is an abundant number, since it is smaller than the sum of its proper divisors (335446867548).

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

242817345225 is an equidigital number, since it uses as much as digits as its factorization.

242817345225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 47 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The spelling of 242817345225 in words is "two hundred forty-two billion, eight hundred seventeen million, three hundred forty-five thousand, two hundred twenty-five".