52153920 has 336 divisors, whose sum is σ = 221894400. Its totient is φ = 10948608.

The previous prime is 52153889. The next prime is 52153921. The reversal of 52153920 is 2935125.

52153920 is a `hidden beast` number, since 521 + 53 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (52153921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261981 + ... + 262179.

It is an arithmetic number, because the mean of its divisors is an integer number (660400).

Almost surely, 2^52153920 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 52153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110947200).

52153920 is an abundant number, since it is smaller than the sum of its proper divisors (169740480).

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

52153920 is a wasteful number, since it uses less digits than its factorization.

52153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 52153920 is about 7221.7670967707. The cubic root of 52153920 is about 373.6190273481.

The spelling of 52153920 in words is "fifty-two million, one hundred fifty-three thousand, nine hundred twenty".