56553000 has 128 divisors (see below), whose sum is σ = 201726720. Its totient is φ = 12921600.

The previous prime is 56552971. The next prime is 56553001. The reversal of 56553000 is 35565.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (56553001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19654 + ... + 22346.

It is an arithmetic number, because the mean of its divisors is an integer number (1575990).

Almost surely, 2^56553000 is an apocalyptic number.

56553000 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 56553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100863360).

56553000 is an abundant number, since it is smaller than the sum of its proper divisors (145173720).

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

56553000 is a wasteful number, since it uses less digits than its factorization.

56553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 56553000 is about 7520.1728703534. The cubic root of 56553000 is about 383.8414601612.

Adding to 56553000 its reverse (35565), we get a palindrome (56588565).

The spelling of 56553000 in words is "fifty-six million, five hundred fifty-three thousand".