53141088 has 288 divisors, whose sum is σ = 193052160. Its totient is φ = 12579840.

The previous prime is 53141087. The next prime is 53141089. The reversal of 53141088 is 88014135.

53141088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53141087) and next prime (53141089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53141083) 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 47 ways as a sum of consecutive naturals, for example, 672633 + ... + 672711.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 2^53141088 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 53141088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

53141088 is an abundant number, since it is smaller than the sum of its proper divisors (139911072).

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

53141088 is a wasteful number, since it uses less digits than its factorization.

53141088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 53141088 is about 7289.7934127107. The cubic root of 53141088 is about 375.9615925761.

It can be divided in two parts, 53 and 141088, that added together give a palindrome (141141).

The spelling of 53141088 in words is "fifty-three million, one hundred forty-one thousand, eighty-eight".