52537824 has 36 divisors (see below), whose sum is σ = 149405256. Its totient is φ = 17512512.

The previous prime is 52537811. The next prime is 52537829. The reversal of 52537824 is 42873525.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52537829) 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 5 ways as a sum of consecutive naturals, for example, 90924 + ... + 91499.

It is an arithmetic number, because the mean of its divisors is an integer number (4150146).

Almost surely, 2^52537824 is an apocalyptic number.

It is an amenable number.

52537824 is an abundant number, since it is smaller than the sum of its proper divisors (96867432).

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

52537824 is a wasteful number, since it uses less digits than its factorization.

52537824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182439 (or 182428 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 52537824 is about 7248.2980071186. The cubic root of 52537824 is about 374.5335213009.

It can be divided in two parts, 52537 and 824, that added together give a square (53361 = 231²).

The spelling of 52537824 in words is "fifty-two million, five hundred thirty-seven thousand, eight hundred twenty-four".