56513700 has 90 divisors (see below), whose sum is σ = 183221346. Its totient is φ = 15068160.

The previous prime is 56513687. The next prime is 56513707. The reversal of 56513700 is 731565.

56513700 is a `hidden beast` number, since 5 + 651 + 3 + 7 + 0 + 0 = 666.

56513700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 443556 + 56070144 = 666^2 + 7488^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (56513707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4612 + ... + 11588.

Almost surely, 2^56513700 is an apocalyptic number.

56513700 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 56513700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91610673).

56513700 is an abundant number, since it is smaller than the sum of its proper divisors (126707646).

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

56513700 is a wasteful number, since it uses less digits than its factorization.

56513700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7003 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 56513700 is about 7517.5594443942. The cubic root of 56513700 is about 383.7525260933.

The spelling of 56513700 in words is "fifty-six million, five hundred thirteen thousand, seven hundred".