53131104 has 144 divisors (see below), whose sum is σ = 170063712. Its totient is φ = 15611904.

The previous prime is 53131073. The next prime is 53131109. The reversal of 53131104 is 40113135.

53131104 is a `hidden beast` number, since 531 + 31 + 104 = 666.

53131104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53131109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85804 + ... + 86420.

It is an arithmetic number, because the mean of its divisors is an integer number (1180998).

Almost surely, 2^53131104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85031856).

53131104 is an abundant number, since it is smaller than the sum of its proper divisors (116932608).

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

53131104 is a wasteful number, since it uses less digits than its factorization.

53131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 53131104 is about 7289.1085874749. The cubic root of 53131104 is about 375.9380462282.

Adding to 53131104 its reverse (40113135), we get a palindrome (93244239).

It can be divided in two parts, 53131 and 104, that added together give a palindrome (53235).

The spelling of 53131104 in words is "fifty-three million, one hundred thirty-one thousand, one hundred four".