5267111136 has 288 divisors, whose sum is σ = 17002379520. Its totient is φ = 1420683264.

The previous prime is 5267111123. The next prime is 5267111177. The reversal of 5267111136 is 6311117625.

It is a junction number, because it is equal to n+sod(n) for n = 5267111097 and 5267111106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9628815 + ... + 9629361.

It is an arithmetic number, because the mean of its divisors is an integer number (59036040).

Almost surely, 2^5267111136 is an apocalyptic number.

5267111136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5267111136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8501189760).

5267111136 is an abundant number, since it is smaller than the sum of its proper divisors (11735268384).

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

5267111136 is a wasteful number, since it uses less digits than its factorization.

5267111136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 671 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 5267111136 is about 72574.8657318772. The cubic root of 5267111136 is about 1739.8994895040.

It can be divided in two parts, 5267 and 111136, that added together give a triangular number (116403 = T₄₈₂).

The spelling of 5267111136 in words is "five billion, two hundred sixty-seven million, one hundred eleven thousand, one hundred thirty-six".