51261600 has 288 divisors, whose sum is σ = 188987904. Its totient is φ = 11980800.

The previous prime is 51261583. The next prime is 51261611. The reversal of 51261600 is 616215.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967174 + ... + 967226.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 2^51261600 is an apocalyptic number.

51261600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51261600 is the 4134-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94493952).

51261600 is an abundant number, since it is smaller than the sum of its proper divisors (137726304).

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

51261600 is a wasteful number, since it uses less digits than its factorization.

51261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 51261600 is about 7159.7206649422. The cubic root of 51261600 is about 371.4759646485.

Adding to 51261600 its reverse (616215), we get a palindrome (51877815).

The spelling of 51261600 in words is "fifty-one million, two hundred sixty-one thousand, six hundred".