53257152 has 112 divisors (see below), whose sum is σ = 159877760. Its totient is φ = 15510528.

The previous prime is 53257123. The next prime is 53257159. The reversal of 53257152 is 25175235.

It is a super-2 number, since 2×53257152² = 5672648478302208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53257159) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46863 + ... + 47985.

It is an arithmetic number, because the mean of its divisors is an integer number (1427480).

Almost surely, 2^53257152 is an apocalyptic number.

53257152 is a gapful number since it is divisible by the number (52) 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 53257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79938880).

53257152 is an abundant number, since it is smaller than the sum of its proper divisors (106620608).

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

53257152 is a wasteful number, since it uses less digits than its factorization.

53257152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1160 counting only the distinct ones).

The product of its digits is 10500, while the sum is 30.

The square root of 53257152 is about 7297.7497901751. The cubic root of 53257152 is about 376.2351027019.

The spelling of 53257152 in words is "fifty-three million, two hundred fifty-seven thousand, one hundred fifty-two".