52755520 has 56 divisors (see below), whose sum is σ = 128720088. Its totient is φ = 20582400.

The previous prime is 52755517. The next prime is 52755523. The reversal of 52755520 is 2555725.

It is an interprime number because it is at equal distance from previous prime (52755517) and next prime (52755523).

It can be written as a sum of positive squares in 4 ways, for example, as 2742336 + 50013184 = 1656^2 + 7072^2 .

It is not an unprimeable number, because it can be changed into a prime (52755523) 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 7 ways as a sum of consecutive naturals, for example, 11110 + ... + 15130.

It is an arithmetic number, because the mean of its divisors is an integer number (2298573).

Almost surely, 2^52755520 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 52755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64360044).

52755520 is an abundant number, since it is smaller than the sum of its proper divisors (75964568).

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

52755520 is a wasteful number, since it uses less digits than its factorization.

52755520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 17500, while the sum is 31.

The square root of 52755520 is about 7263.2995256977. The cubic root of 52755520 is about 375.0501147839.

The spelling of 52755520 in words is "fifty-two million, seven hundred fifty-five thousand, five hundred twenty".