230133535325505 has 240 divisors, whose sum is σ = 505908528592896. Its totient is φ = 99644040034560.

The previous prime is 230133535325429. The next prime is 230133535325581. The reversal of 230133535325505 is 505523535331032.

230133535325505 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 3 + 35 + 35 + 32 + 550 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (230133535325429) and next prime (230133535325581).

It is not a de Polignac number, because 230133535325505 - 2⁷ = 230133535325377 is a prime.

It is a super-2 number, since 2×230133535325505² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24934567 + ... + 32893763.

Almost surely, 2^{230133535325505} is an apocalyptic number.

It is an amenable number.

230133535325505 is an abundant number, since it is smaller than the sum of its proper divisors (275774993267391).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230133535325505 is a wasteful number, since it uses less digits than its factorization.

230133535325505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7959306 (or 7959290 counting only the distinct ones).

The product of its (nonzero) digits is 3037500, while the sum is 45.

The spelling of 230133535325505 in words is "two hundred thirty trillion, one hundred thirty-three billion, five hundred thirty-five million, three hundred twenty-five thousand, five hundred five".