242589627433521 has 27 divisors (see below), whose sum is σ = 355719848098251. Its totient is φ = 159310535212224.

The previous prime is 242589627433507. The next prime is 242589627433523. The reversal of 242589627433521 is 125334726985242.

The square root of 242589627433521 is 15575289.

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

242589627433521 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 8 + 9 + 6 + 2 + 74 + 33 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3300903951921 + 239288723481600 = 1816839^2 + 15468960^2 .

It is not a de Polignac number, because 242589627433521 - 2³⁷ = 242452188480049 is a prime.

It is a super-2 number, since 2×242589627433521² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242589627433523) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3130594345 + ... + 3130671833.

Almost surely, 2^{242589627433521} is an apocalyptic number.

242589627433521 is the 15575289-th square number.

242589627433521 is the 7787645-th centered octagonal number.

It is an amenable number.

242589627433521 is a deficient number, since it is larger than the sum of its proper divisors (113130220664730).

242589627433521 is an frugal number, since it uses more digits than its factorization.

242589627433521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155118 (or 77559 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 242589627433521 in words is "two hundred forty-two trillion, five hundred eighty-nine billion, six hundred twenty-seven million, four hundred thirty-three thousand, five hundred twenty-one".