52006032 has 90 divisors (see below), whose sum is σ = 157675362. Its totient is φ = 15994368.

The previous prime is 52006027. The next prime is 52006037. The reversal of 52006032 is 23060025.

It is an interprime number because it is at equal distance from previous prime (52006027) and next prime (52006037).

It can be written as a sum of positive squares in 3 ways, for example, as 4064256 + 47941776 = 2016^2 + 6924^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 52005996 and 52006014.

It is not an unprimeable number, because it can be changed into a prime (52006037) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23268 + ... + 25404.

Almost surely, 2^52006032 is an apocalyptic number.

52006032 is a gapful number since it is divisible by the number (52) 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 52006032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78837681).

52006032 is an abundant number, since it is smaller than the sum of its proper divisors (105669330).

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

52006032 is a wasteful number, since it uses less digits than its factorization.

52006032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 52006032 is about 7211.5207827476. The cubic root of 52006032 is about 373.2655475002.

Adding to 52006032 its reverse (23060025), we get a palindrome (75066057).

The spelling of 52006032 in words is "fifty-two million, six thousand, thirty-two", and thus it is an eban number.