242610561 has 12 divisors (see below), whose sum is σ = 351547092. Its totient is φ = 161228256.

The previous prime is 242610547. The next prime is 242610581. The reversal of 242610561 is 165016242.

242610561 is a `hidden beast` number, since 2 + 42 + 61 + 0 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41679936 + 200930625 = 6456^2 + 14175^2 .

It is not a de Polignac number, because 242610561 - 2¹⁵ = 242577793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242610541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39666 + ... + 45371.

It is an arithmetic number, because the mean of its divisors is an integer number (29295591).

Almost surely, 2^242610561 is an apocalyptic number.

It is an amenable number.

242610561 is a deficient number, since it is larger than the sum of its proper divisors (108936531).

242610561 is a wasteful number, since it uses less digits than its factorization.

242610561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85360 (or 85357 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 242610561 is about 15575.9609976399. The cubic root of 242610561 is about 623.6916082757.

The spelling of 242610561 in words is "two hundred forty-two million, six hundred ten thousand, five hundred sixty-one".