242129315855025 has 135 divisors (see below), whose sum is σ = 450677205157179. Its totient is φ = 129044886257520.

The previous prime is 242129315854997. The next prime is 242129315855057. The reversal of 242129315855025 is 520558513921242.

The square root of 242129315855025 is 15560505.

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

242129315855025 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 2 + 9 + 3 + 1 + 585 + 50 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87166553707809 + 154962762147216 = 9336303^2 + 12448404^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 242129315855025 - 2²⁷ = 242129181637297 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 170154121464 + ... + 170154122886.

Almost surely, 2^{242129315855025} is an apocalyptic number.

242129315855025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

242129315855025 is the 15560505-th square number.

242129315855025 is the 7780253-rd centered octagonal number.

It is an amenable number.

242129315855025 is a deficient number, since it is larger than the sum of its proper divisors (208547889302154).

242129315855025 is an frugal number, since it uses more digits than its factorization.

242129315855025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 242129315855025 in words is "two hundred forty-two trillion, one hundred twenty-nine billion, three hundred fifteen million, eight hundred fifty-five thousand, twenty-five".