242807490025 has 27 divisors (see below), whose sum is σ = 303691259781. Its totient is φ = 192576538080.

The previous prime is 242807489971. The next prime is 242807490047. The reversal of 242807490025 is 520094708242.

It is a happy number.

The square root of 242807490025 is 492755.

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

It can be written as a sum of positive squares in 4 ways, for example, as 67058727849 + 175748762176 = 258957^2 + 419224^2 .

It is not a de Polignac number, because 242807490025 - 2¹¹ = 242807487977 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 (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 342464371 + ... + 342465079.

Almost surely, 2^242807490025 is an apocalyptic number.

242807490025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

242807490025 is the 492755-th square number.

242807490025 is the 246378-th centered octagonal number.

It is an amenable number.

242807490025 is a deficient number, since it is larger than the sum of its proper divisors (60883769756).

242807490025 is an frugal number, since it uses more digits than its factorization.

242807490025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 242807490025 in words is "two hundred forty-two billion, eight hundred seven million, four hundred ninety thousand, twenty-five".