51511200 has 216 divisors, whose sum is σ = 182988288. Its totient is φ = 12579840.

The previous prime is 51511199. The next prime is 51511217. The reversal of 51511200 is 211515.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 51511200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 405537 + ... + 405663.

It is an arithmetic number, because the mean of its divisors is an integer number (847168).

Almost surely, 2^51511200 is an apocalyptic number.

51511200 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 51511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91494144).

51511200 is an abundant number, since it is smaller than the sum of its proper divisors (131477088).

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

51511200 is a wasteful number, since it uses less digits than its factorization.

51511200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 51511200 is about 7177.1303457580. The cubic root of 51511200 is about 372.0779117652.

Adding to 51511200 its reverse (211515), we get a palindrome (51722715).

The spelling of 51511200 in words is "fifty-one million, five hundred eleven thousand, two hundred".