51552000 has 216 divisors, whose sum is σ = 186535440. Its totient is φ = 13670400.

The previous prime is 51551971. The next prime is 51552019. The reversal of 51552000 is 25515.

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 23 ways as a sum of consecutive naturals, for example, 287911 + ... + 288089.

It is an arithmetic number, because the mean of its divisors is an integer number (863590).

Almost surely, 2^51552000 is an apocalyptic number.

51552000 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 51552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93267720).

51552000 is an abundant number, since it is smaller than the sum of its proper divisors (134983440).

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

51552000 is a wasteful number, since it uses less digits than its factorization.

51552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 51552000 is about 7179.9721447928. The cubic root of 51552000 is about 372.1761219443.

Adding to 51552000 its reverse (25515), we get a palindrome (51577515).

The spelling of 51552000 in words is "fifty-one million, five hundred fifty-two thousand".