75111311311157 has 16 divisors (see below), whose sum is σ = 82123194859200. Its totient is φ = 68130194202240.

The previous prime is 75111311311129. The next prime is 75111311311193.

75111311311157 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-75111311311157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 75111311311157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75111311301157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4639394 + ... + 13105212.

It is an arithmetic number, because the mean of its divisors is an integer number (5132699678700).

Almost surely, 2^{75111311311157} is an apocalyptic number.

It is an amenable number.

75111311311157 is a deficient number, since it is larger than the sum of its proper divisors (7011883548043).

75111311311157 is a wasteful number, since it uses less digits than its factorization.

75111311311157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8467636.

The product of its digits is 11025, while the sum is 38.

It can be divided in two parts, 7511131 and 1311157, that added together give a palindrome (8822288).

The spelling of 75111311311157 in words is "seventy-five trillion, one hundred eleven billion, three hundred eleven million, three hundred eleven thousand, one hundred fifty-seven".