52056000 has 224 divisors, whose sum is σ = 191780160. Its totient is φ = 13824000.

The previous prime is 52055999. The next prime is 52056013. The reversal of 52056000 is 65025.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215880 + ... + 216120.

Almost surely, 2^52056000 is an apocalyptic number.

52056000 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 52056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95890080).

52056000 is an abundant number, since it is smaller than the sum of its proper divisors (139724160).

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

52056000 is a wasteful number, since it uses less digits than its factorization.

52056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 52056000 is about 7214.9844074676. The cubic root of 52056000 is about 373.3850551924.

The spelling of 52056000 in words is "fifty-two million, fifty-six thousand", and thus it is an eban number.