56511000 has 512 divisors, whose sum is σ = 251596800. Its totient is φ = 11404800.

The previous prime is 56510999. The next prime is 56511001. The reversal of 56511000 is 11565.

56511000 is a `hidden beast` number, since 5 + 651 + 10 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56510999) and next prime (56511001).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56511001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2456989 + ... + 2457011.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^56511000 is an apocalyptic number.

56511000 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 56511000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

56511000 is an abundant number, since it is smaller than the sum of its proper divisors (195085800).

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

56511000 is a wasteful number, since it uses less digits than its factorization.

56511000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 56511000 is about 7517.3798626915. The cubic root of 56511000 is about 383.7464146057.

Adding to 56511000 its reverse (11565), we get a palindrome (56522565).

The spelling of 56511000 in words is "fifty-six million, five hundred eleven thousand".