56052900 has 108 divisors (see below), whose sum is σ = 178749844. Its totient is φ = 14688000.

The previous prime is 56052877. The next prime is 56052901. The reversal of 56052900 is 925065.

56052900 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 6 ways, for example, as 8608356 + 47444544 = 2934^2 + 6888^2 .

It is not an unprimeable number, because it can be changed into a prime (56052901) 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 35 ways as a sum of consecutive naturals, for example, 54390 + ... + 55410.

Almost surely, 2^56052900 is an apocalyptic number.

56052900 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 56052900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89374922).

56052900 is an abundant number, since it is smaller than the sum of its proper divisors (122696944).

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

56052900 is a wasteful number, since it uses less digits than its factorization.

56052900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 56052900 is about 7486.8484691491. The cubic root of 56052900 is about 382.7066677595.

Adding to 56052900 its reverse (925065), we get a palindrome (56977965).

The spelling of 56052900 in words is "fifty-six million, fifty-two thousand, nine hundred".