242564553 has 72 divisors (see below), whose sum is σ = 459254016. Its totient is φ = 121867200.

The previous prime is 242564537. The next prime is 242564561. The reversal of 242564553 is 355465242.

242564553 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 645 + 5 + 3 = 666.

It is not a de Polignac number, because 242564553 - 2⁴ = 242564537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242564503) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 149575 + ... + 151187.

It is an arithmetic number, because the mean of its divisors is an integer number (6378528).

Almost surely, 2^242564553 is an apocalyptic number.

It is an amenable number.

242564553 is a deficient number, since it is larger than the sum of its proper divisors (216689463).

242564553 is a wasteful number, since it uses less digits than its factorization.

242564553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1665 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 242564553 is about 15574.4840363975. The cubic root of 242564553 is about 623.6521807292.

The spelling of 242564553 in words is "two hundred forty-two million, five hundred sixty-four thousand, five hundred fifty-three".