51025200 has 120 divisors (see below), whose sum is σ = 165461136. Its totient is φ = 13440000.

The previous prime is 51025187. The next prime is 51025207. The reversal of 51025200 is 252015.

It is a tau number, because it is divible by the number of its divisors (120).

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 51025200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51025207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120990 + ... + 121410.

Almost surely, 2^51025200 is an apocalyptic number.

51025200 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 51025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82730568).

51025200 is an abundant number, since it is smaller than the sum of its proper divisors (114435936).

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

51025200 is a wasteful number, since it uses less digits than its factorization.

51025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 51025200 is about 7143.1925635531. The cubic root of 51025200 is about 370.9040468889.

Adding to 51025200 its reverse (252015), we get a palindrome (51277215).

The spelling of 51025200 in words is "fifty-one million, twenty-five thousand, two hundred".