52532064 has 120 divisors (see below), whose sum is σ = 166486320. Its totient is φ = 16153344.

The previous prime is 52532047. The next prime is 52532089. The reversal of 52532064 is 46023525.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32917 + ... + 34475.

It is an arithmetic number, because the mean of its divisors is an integer number (1387386).

Almost surely, 2^52532064 is an apocalyptic number.

52532064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52532064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83243160).

52532064 is an abundant number, since it is smaller than the sum of its proper divisors (113954256).

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

52532064 is a wasteful number, since it uses less digits than its factorization.

52532064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 52532064 is about 7247.9006615709. The cubic root of 52532064 is about 374.5198334359.

Adding to 52532064 its reverse (46023525), we get a palindrome (98555589).

The spelling of 52532064 in words is "fifty-two million, five hundred thirty-two thousand, sixty-four".