51531200 has 168 divisors, whose sum is σ = 149668992. Its totient is φ = 17095680.

The previous prime is 51531191. The next prime is 51531217. The reversal of 51531200 is 213515.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481547 + ... + 481653.

Almost surely, 2^51531200 is an apocalyptic number.

51531200 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 51531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74834496).

51531200 is an abundant number, since it is smaller than the sum of its proper divisors (98137792).

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

51531200 is a wasteful number, since it uses less digits than its factorization.

51531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 51531200 is about 7178.5235250712. The cubic root of 51531200 is about 372.1260604872.

Adding to 51531200 its reverse (213515), we get a palindrome (51744715).

The spelling of 51531200 in words is "fifty-one million, five hundred thirty-one thousand, two hundred".