233979200257 has 8 divisors (see below), whose sum is σ = 255383488800. Its totient is φ = 212597153760.

The previous prime is 233979200209. The next prime is 233979200297. The reversal of 233979200257 is 752002979332.

233979200257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 233979200257 - 2¹⁹ = 233978675969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 233979200257.

It is not an unprimeable number, because it can be changed into a prime (233979200297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5538507 + ... + 5580592.

It is an arithmetic number, because the mean of its divisors is an integer number (31922936100).

Almost surely, 2^233979200257 is an apocalyptic number.

It is an amenable number.

233979200257 is a deficient number, since it is larger than the sum of its proper divisors (21404288543).

233979200257 is a wasteful number, since it uses less digits than its factorization.

233979200257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11121023.

The product of its (nonzero) digits is 1428840, while the sum is 49.

The spelling of 233979200257 in words is "two hundred thirty-three billion, nine hundred seventy-nine million, two hundred thousand, two hundred fifty-seven".