233048528001 has 15 divisors (see below), whose sum is σ = 348140711281. Its totient is φ = 155362788828.

The previous prime is 233048527991. The next prime is 233048528017. The reversal of 233048528001 is 100825840332.

The square root of 233048528001 is 482751.

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

233048528001 is a `hidden beast` number, since 2 + 330 + 48 + 5 + 280 + 0 + 1 = 666.

It is not a de Polignac number, because 233048528001 - 2¹⁷ = 233048396929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (233048528021) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4317940 + ... + 4371578.

Almost surely, 2^233048528001 is an apocalyptic number.

233048528001 is the 482751-st square number.

233048528001 is the 241376-th centered octagonal number.

It is an amenable number.

233048528001 is a deficient number, since it is larger than the sum of its proper divisors (115092183280).

233048528001 is an frugal number, since it uses more digits than its factorization.

233048528001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107290 (or 53642 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 233048528001 by its sum of digits (36), we get a square (8389747008036 = 2896506²).

The spelling of 233048528001 in words is "two hundred thirty-three billion, forty-eight million, five hundred twenty-eight thousand, one".