51701200 has 60 divisors (see below), whose sum is σ = 128524140. Its totient is φ = 19962880.

The previous prime is 51701161. The next prime is 51701227. The reversal of 51701200 is 210715.

It can be written as a sum of positive squares in 6 ways, for example, as 33856 + 51667344 = 184^2 + 7188^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 9372 + ... + 13828.

It is an arithmetic number, because the mean of its divisors is an integer number (2142069).

Almost surely, 2^51701200 is an apocalyptic number.

51701200 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 51701200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64262070).

51701200 is an abundant number, since it is smaller than the sum of its proper divisors (76822940).

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

51701200 is a wasteful number, since it uses less digits than its factorization.

51701200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 51701200 is about 7190.3546505023. The cubic root of 51701200 is about 372.5348225032.

Adding to 51701200 its reverse (210715), we get a palindrome (51911915).

The spelling of 51701200 in words is "fifty-one million, seven hundred one thousand, two hundred".