2355013305 has 64 divisors (see below), whose sum is σ = 4257792000. Its totient is φ = 1234823616.

The previous prime is 2355013303. The next prime is 2355013313. The reversal of 2355013305 is 5033105532.

2355013305 is a `hidden beast` number, since 2 + 355 + 0 + 1 + 3 + 305 = 666.

It is not a de Polignac number, because 2355013305 - 2¹ = 2355013303 is a prime.

It is a super-3 number, since 3×2355013305³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2355013303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4681684 + ... + 4682186.

It is an arithmetic number, because the mean of its divisors is an integer number (66528000).

Almost surely, 2^2355013305 is an apocalyptic number.

It is an amenable number.

2355013305 is a deficient number, since it is larger than the sum of its proper divisors (1902778695).

2355013305 is a wasteful number, since it uses less digits than its factorization.

2355013305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 2355013305 is about 48528.4793188495. The cubic root of 2355013305 is about 1330.4476426740.

Adding to 2355013305 its reverse (5033105532), we get a palindrome (7388118837).

The spelling of 2355013305 in words is "two billion, three hundred fifty-five million, thirteen thousand, three hundred five".