56653000 has 64 divisors (see below), whose sum is σ = 133726320. Its totient is φ = 22464000.

The previous prime is 56652983. The next prime is 56653013. The reversal of 56653000 is 35665.

It can be written as a sum of positive squares in 8 ways, for example, as 13645636 + 43007364 = 3694^2 + 6558^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 180844 + ... + 181156.

Almost surely, 2^56653000 is an apocalyptic number.

56653000 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 56653000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66863160).

56653000 is an abundant number, since it is smaller than the sum of its proper divisors (77073320).

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

56653000 is a wasteful number, since it uses less digits than its factorization.

56653000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 56653000 is about 7526.8187170942. The cubic root of 56653000 is about 384.0675698514.

Adding to 56653000 its reverse (35665), we get a palindrome (56688665).

The spelling of 56653000 in words is "fifty-six million, six hundred fifty-three thousand".