51205200 has 120 divisors (see below), whose sum is σ = 166614336. Its totient is φ = 13440000.

The previous prime is 51205183. The next prime is 51205201. The reversal of 51205200 is 250215.

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 51205200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51205201) 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, 84900 + ... + 85500.

Almost surely, 2^51205200 is an apocalyptic number.

51205200 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 51205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83307168).

51205200 is an abundant number, since it is smaller than the sum of its proper divisors (115409136).

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

51205200 is a wasteful number, since it uses less digits than its factorization.

51205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

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

The square root of 51205200 is about 7155.7808798202. The cubic root of 51205200 is about 371.3396772332.

Adding to 51205200 its reverse (250215), we get a palindrome (51455415).

The spelling of 51205200 in words is "fifty-one million, two hundred five thousand, two hundred".