52616000 has 56 divisors (see below), whose sum is σ = 130323336. Its totient is φ = 21043200.

The previous prime is 52615993. The next prime is 52616009. The reversal of 52616000 is 61625.

It can be written as a sum of positive squares in 4 ways, for example, as 891136 + 51724864 = 944^2 + 7192^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52616009) 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 7 ways as a sum of consecutive naturals, for example, 4712 + ... + 11288.

Almost surely, 2^52616000 is an apocalyptic number.

52616000 is a gapful number since it is divisible by the number (50) 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 52616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65161668).

52616000 is an abundant number, since it is smaller than the sum of its proper divisors (77707336).

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

52616000 is an equidigital number, since it uses as much as digits as its factorization.

52616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6584 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 52616000 is about 7253.6887167840. The cubic root of 52616000 is about 374.7191971926.

Adding to 52616000 its reverse (61625), we get a palindrome (52677625).

The spelling of 52616000 in words is "fifty-two million, six hundred sixteen thousand".