51241600 has 96 divisors (see below), whose sum is σ = 129009600. Its totient is φ = 20106240.

The previous prime is 51241583. The next prime is 51241601. The reversal of 51241600 is 614215.

It is not an unprimeable number, because it can be changed into a prime (51241601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214281 + ... + 214519.

It is an arithmetic number, because the mean of its divisors is an integer number (1343850).

Almost surely, 2^51241600 is an apocalyptic number.

51241600 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 51241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64504800).

51241600 is an abundant number, since it is smaller than the sum of its proper divisors (77768000).

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

51241600 is a wasteful number, since it uses less digits than its factorization.

51241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 51241600 is about 7158.3238261481. The cubic root of 51241600 is about 371.4276472223.

Adding to 51241600 its reverse (614215), we get a palindrome (51855815).

It can be divided in two parts, 5124 and 1600, that added together give a square (6724 = 82²).

The spelling of 51241600 in words is "fifty-one million, two hundred forty-one thousand, six hundred".