233350218398025 has 81 divisors (see below), whose sum is σ = 421870961446389. Its totient is φ = 123298476747840.

The previous prime is 233350218397937. The next prime is 233350218398029. The reversal of 233350218398025 is 520893812053332.

The square root of 233350218398025 is 15275805.

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

233350218398025 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 502 + 1 + 8 + 39 + 80 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 855545451849 + 232494672946176 = 924957^2 + 15247776^2 .

It is not a de Polignac number, because 233350218398025 - 2¹¹ = 233350218395977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233350218398029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24975936504 + ... + 24975945846.

Almost surely, 2^{233350218398025} is an apocalyptic number.

233350218398025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

233350218398025 is the 15275805-th square number.

233350218398025 is the 7637903-rd centered octagonal number.

It is an amenable number.

233350218398025 is a deficient number, since it is larger than the sum of its proper divisors (188520743048364).

233350218398025 is an frugal number, since it uses more digits than its factorization.

233350218398025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18920 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 233350218398025 in words is "two hundred thirty-three trillion, three hundred fifty billion, two hundred eighteen million, three hundred ninety-eight thousand, twenty-five".