243290630025 has 135 divisors (see below), whose sum is σ = 459417532431. Its totient is φ = 127280885760.

The previous prime is 243290629999. The next prime is 243290630101. The reversal of 243290630025 is 520036092342.

It is a happy number.

The square root of 243290630025 is 493245.

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

243290630025 is a `hidden beast` number, since 2 + 4 + 329 + 0 + 6 + 300 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 242421323769 + 869306256 = 492363^2 + 29484^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 243290630025 - 2¹⁵ = 243290597257 is a prime.

It is a super-2 number, since 2×243290630025² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2153014369 + ... + 2153014481.

Almost surely, 2^243290630025 is an apocalyptic number.

243290630025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

243290630025 is the 493245-th square number.

243290630025 is the 246623-rd centered octagonal number.

It is an amenable number.

243290630025 is a deficient number, since it is larger than the sum of its proper divisors (216126902406).

243290630025 is an frugal number, since it uses more digits than its factorization.

243290630025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Multiplying 243290630025 by its sum of digits (36), we get a square (8758462680900 = 2959470²).

The spelling of 243290630025 in words is "two hundred forty-three billion, two hundred ninety million, six hundred thirty thousand, twenty-five".