233057931075225 has 27 divisors (see below), whose sum is σ = 417433060034653. Its totient is φ = 124297441110240.

The previous prime is 233057931075169. The next prime is 233057931075239. The reversal of 233057931075225 is 522570139750332.

The square root of 233057931075225 is 15266235.

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

233057931075225 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 5 + 7 + 9 + 3 + 107 + 522 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9927471322521 + 223130459752704 = 3150789^2 + 14937552^2 .

It is not a de Polignac number, because 233057931075225 - 2¹³ = 233057931067033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 228484651 + ... + 229502399.

Almost surely, 2^{233057931075225} is an apocalyptic number.

233057931075225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

233057931075225 is the 15266235-th square number.

233057931075225 is the 7633118-th centered octagonal number.

It is an amenable number.

233057931075225 is a deficient number, since it is larger than the sum of its proper divisors (184375128959428).

233057931075225 is an frugal number, since it uses more digits than its factorization.

233057931075225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035514 (or 1017757 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 54.

The spelling of 233057931075225 in words is "two hundred thirty-three trillion, fifty-seven billion, nine hundred thirty-one million, seventy-five thousand, two hundred twenty-five".