233652005605263 has 64 divisors (see below), whose sum is σ = 381635400960000. Its totient is φ = 124114438508544.

The previous prime is 233652005605189. The next prime is 233652005605273. The reversal of 233652005605263 is 362506500256332.

233652005605263 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233652005605263 - 2¹³ = 233652005597071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233652005605273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25198413 + ... + 33200361.

It is an arithmetic number, because the mean of its divisors is an integer number (5963053140000).

Almost surely, 2^{233652005605263} is an apocalyptic number.

233652005605263 is a deficient number, since it is larger than the sum of its proper divisors (147983395354737).

233652005605263 is a wasteful number, since it uses less digits than its factorization.

233652005605263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8002984.

The product of its (nonzero) digits is 5832000, while the sum is 48.

The spelling of 233652005605263 in words is "two hundred thirty-three trillion, six hundred fifty-two billion, five million, six hundred five thousand, two hundred sixty-three".