242314985025 has 45 divisors (see below), whose sum is σ = 448892151411. Its totient is φ = 129222844560.

The previous prime is 242314984991. The next prime is 242314985027. The reversal of 242314985025 is 520589413242.

The square root of 242314985025 is 492255.

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

242314985025 is a `hidden beast` number, since 2 + 42 + 3 + 14 + 98 + 502 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87233394609 + 155081590416 = 295353^2 + 393804^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 242314985025 - 2¹⁹ = 242314460737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (242314985027) 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, 22146006 + ... + 22156944.

Almost surely, 2^242314985025 is an apocalyptic number.

242314985025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

242314985025 is the 492255-th square number.

242314985025 is the 246128-th centered octagonal number.

It is an amenable number.

242314985025 is a deficient number, since it is larger than the sum of its proper divisors (206577166386).

242314985025 is an frugal number, since it uses more digits than its factorization.

242314985025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21900 (or 10947 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 242314985025 in words is "two hundred forty-two billion, three hundred fourteen million, nine hundred eighty-five thousand, twenty-five".