11305135257 has 16 divisors (see below), whose sum is σ = 16236886848. Its totient is φ = 6955346880.

The previous prime is 11305135253. The next prime is 11305135277. The reversal of 11305135257 is 75253150311.

11305135257 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 11305135257 - 2² = 11305135253 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11305135253) 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 15 ways as a sum of consecutive naturals, for example, 142507 + ... + 207167.

It is an arithmetic number, because the mean of its divisors is an integer number (1014805428).

Almost surely, 2^11305135257 is an apocalyptic number.

It is an amenable number.

11305135257 is a deficient number, since it is larger than the sum of its proper divisors (4931751591).

11305135257 is a wasteful number, since it uses less digits than its factorization.

11305135257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69160.

The product of its (nonzero) digits is 15750, while the sum is 33.

Adding to 11305135257 its reverse (75253150311), we get a palindrome (86558285568).

The spelling of 11305135257 in words is "eleven billion, three hundred five million, one hundred thirty-five thousand, two hundred fifty-seven".