53253648 has 120 divisors (see below), whose sum is σ = 177810048. Its totient is φ = 14547456.

The previous prime is 53253647. The next prime is 53253649. The reversal of 53253648 is 84635235.

It is a happy number.

53253648 is a `hidden beast` number, since 5 + 3 + 2 + 5 + 3 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (53253647) and next prime (53253649).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53253647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22036 + ... + 24332.

Almost surely, 2^53253648 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 53253648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88905024).

53253648 is an abundant number, since it is smaller than the sum of its proper divisors (124556400).

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

53253648 is a wasteful number, since it uses less digits than its factorization.

53253648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341 (or 2332 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 53253648 is about 7297.5097122238. The cubic root of 53253648 is about 376.2268511860.

The spelling of 53253648 in words is "fifty-three million, two hundred fifty-three thousand, six hundred forty-eight".