242029561225 has 27 divisors (see below), whose sum is σ = 305306534559. Its totient is φ = 190331419200.

The previous prime is 242029561219. The next prime is 242029561243. The reversal of 242029561225 is 522165920242.

The square root of 242029561225 is 491965.

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

It can be written as a sum of positive squares in 13 ways, for example, as 235454946169 + 6574615056 = 485237^2 + 81084^2 .

It is not a de Polignac number, because 242029561225 - 2³ = 242029561217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 150048519 + ... + 150050131.

Almost surely, 2^242029561225 is an apocalyptic number.

242029561225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

242029561225 is the 491965-th square number.

242029561225 is the 245983-rd centered octagonal number.

It is an amenable number.

242029561225 is a deficient number, since it is larger than the sum of its proper divisors (63276973334).

242029561225 is an frugal number, since it uses more digits than its factorization.

242029561225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 242029561225 in words is "two hundred forty-two billion, twenty-nine million, five hundred sixty-one thousand, two hundred twenty-five".