52811136 has 256 divisors, whose sum is σ = 186048000. Its totient is φ = 14432256.

The previous prime is 52811123. The next prime is 52811141. The reversal of 52811136 is 63111825.

52811136 is a `hidden beast` number, since 528 + 1 + 1 + 136 = 666.

It is a super-2 number, since 2×52811136² = 5578032171220992, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 895075 + ... + 895133.

It is an arithmetic number, because the mean of its divisors is an integer number (726750).

Almost surely, 2^52811136 is an apocalyptic number.

52811136 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 52811136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93024000).

52811136 is an abundant number, since it is smaller than the sum of its proper divisors (133236864).

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

52811136 is a wasteful number, since it uses less digits than its factorization.

52811136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 52811136 is about 7267.1270802154. The cubic root of 52811136 is about 375.1818637872.

It can be divided in two parts, 528 and 11136, that added together give a square (11664 = 108²).

The spelling of 52811136 in words is "fifty-two million, eight hundred eleven thousand, one hundred thirty-six".