56225052 has 144 divisors (see below), whose sum is σ = 167311872. Its totient is φ = 15759360.

The previous prime is 56225051. The next prime is 56225077. The reversal of 56225052 is 25052265.

56225052 is a `hidden beast` number, since 562 + 2 + 50 + 52 = 666.

It is a super-2 number, since 2×56225052² = 6322512944805408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56225051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294277 + ... + 294467.

It is an arithmetic number, because the mean of its divisors is an integer number (1161888).

Almost surely, 2^56225052 is an apocalyptic number.

56225052 is a gapful number since it is divisible by the number (52) 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 56225052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83655936).

56225052 is an abundant number, since it is smaller than the sum of its proper divisors (111086820).

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

56225052 is a wasteful number, since it uses less digits than its factorization.

56225052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 56225052 is about 7498.3366155435. The cubic root of 56225052 is about 383.0980622270.

The spelling of 56225052 in words is "fifty-six million, two hundred twenty-five thousand, fifty-two".