51019200 has 168 divisors, whose sum is σ = 186141360. Its totient is φ = 13593600.

The previous prime is 51019183. The next prime is 51019201. The reversal of 51019200 is 291015.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51019201) 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, 42610 + ... + 43790.

Almost surely, 2^51019200 is an apocalyptic number.

51019200 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 51019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93070680).

51019200 is an abundant number, since it is smaller than the sum of its proper divisors (135122160).

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

51019200 is a wasteful number, since it uses less digits than its factorization.

51019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 51019200 is about 7142.7725709279. The cubic root of 51019200 is about 370.8895082458.

The spelling of 51019200 in words is "fifty-one million, nineteen thousand, two hundred".