53561600 has 54 divisors (see below), whose sum is σ = 132589170. Its totient is φ = 21422080.

The previous prime is 53561597. The next prime is 53561603. The reversal of 53561600 is 616535.

It is an interprime number because it is at equal distance from previous prime (53561597) and next prime (53561603).

It can be written as a sum of positive squares in 3 ways, for example, as 6885376 + 46676224 = 2624^2 + 6832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 53561600.

It is not an unprimeable number, because it can be changed into a prime (53561603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2216 + ... + 10584.

It is an arithmetic number, because the mean of its divisors is an integer number (2455355).

Almost surely, 2^53561600 is an apocalyptic number.

53561600 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 53561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66294585).

53561600 is an abundant number, since it is smaller than the sum of its proper divisors (79027570).

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

53561600 is an equidigital number, since it uses as much as digits as its factorization.

53561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8395 (or 8376 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 53561600 is about 7318.5790970652. The cubic root of 53561600 is about 376.9506651172.

The spelling of 53561600 in words is "fifty-three million, five hundred sixty-one thousand, six hundred".