51201600 has 84 divisors (see below), whose sum is σ = 167999664. Its totient is φ = 13652480.

The previous prime is 51201589. The next prime is 51201613. The reversal of 51201600 is 610215.

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 51201600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534 + ... + 10133.

It is an arithmetic number, because the mean of its divisors is an integer number (1999996).

Almost surely, 2^51201600 is an apocalyptic number.

51201600 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 51201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83999832).

51201600 is an abundant number, since it is smaller than the sum of its proper divisors (116798064).

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

51201600 is a wasteful number, since it uses less digits than its factorization.

51201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10692 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 51201600 is about 7155.5293305248. The cubic root of 51201600 is about 371.3309746394.

Adding to 51201600 its reverse (610215), we get a palindrome (51811815).

The spelling of 51201600 in words is "fifty-one million, two hundred one thousand, six hundred".