242580625 has 45 divisors (see below), whose sum is σ = 356625687. Its totient is φ = 164472000.

The previous prime is 242580623. The next prime is 242580661. The reversal of 242580625 is 526085242.

The square root of 242580625 is 15575.

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

It can be written as a sum of positive squares in 7 ways, for example, as 235653201 + 6927424 = 15351^2 + 2632^2 .

It is not a de Polignac number, because 242580625 - 2¹ = 242580623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242580623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2725581 + ... + 2725669.

Almost surely, 2^242580625 is an apocalyptic number.

242580625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

242580625 is the 15575-th square number.

242580625 is the 7788-th centered octagonal number.

It is an amenable number.

242580625 is a deficient number, since it is larger than the sum of its proper divisors (114045062).

242580625 is an frugal number, since it uses more digits than its factorization.

242580625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The cubic root of 242580625 is about 623.6659545423.

The spelling of 242580625 in words is "two hundred forty-two million, five hundred eighty thousand, six hundred twenty-five".