52538220 has 240 divisors, whose sum is σ = 194660928. Its totient is φ = 11612160.

The previous prime is 52538219. The next prime is 52538221. The reversal of 52538220 is 2283525.

52538220 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 (52538219) and next prime (52538221).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (52538221) 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 79 ways as a sum of consecutive naturals, for example, 464884 + ... + 464996.

Almost surely, 2^52538220 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 52538220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97330464).

52538220 is an abundant number, since it is smaller than the sum of its proper divisors (142122708).

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

52538220 is a wasteful number, since it uses less digits than its factorization.

52538220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 52538220 is about 7248.3253238248. The cubic root of 52538220 is about 374.5344623049.

The spelling of 52538220 in words is "fifty-two million, five hundred thirty-eight thousand, two hundred twenty".