52618032 has 60 divisors (see below), whose sum is σ = 151467240. Its totient is φ = 17489088.

The previous prime is 52618031. The next prime is 52618037. The reversal of 52618032 is 23081625.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a junction number, because it is equal to n+sod(n) for n = 52617987 and 52618005.

It is not an unprimeable number, because it can be changed into a prime (52618031) 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 11 ways as a sum of consecutive naturals, for example, 150594 + ... + 150942.

It is an arithmetic number, because the mean of its divisors is an integer number (2524454).

Almost surely, 2^52618032 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 52618032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75733620).

52618032 is an abundant number, since it is smaller than the sum of its proper divisors (98849208).

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

52618032 is an equidigital number, since it uses as much as digits as its factorization.

52618032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 52618032 is about 7253.8287820985. The cubic root of 52618032 is about 374.7240209447.

Multiplying 52618032 by its sum of digits (27), we get a square (1420686864 = 37692²).

52618032 divided by its sum of digits (27) gives a square (1948816 = 1396²).

Adding to 52618032 its reverse (23081625), we get a palindrome (75699657).

The spelling of 52618032 in words is "fifty-two million, six hundred eighteen thousand, thirty-two".