51249600 has 126 divisors (see below), whose sum is σ = 182204360. Its totient is φ = 13662720.

The previous prime is 51249587. The next prime is 51249619. The reversal of 51249600 is 694215.

51249600 is a `hidden beast` number, since 5 + 12 + 49 + 600 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12621 + ... + 16179.

Almost surely, 2^51249600 is an apocalyptic number.

51249600 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 51249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91102180).

51249600 is an abundant number, since it is smaller than the sum of its proper divisors (130954760).

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

51249600 is a wasteful number, since it uses less digits than its factorization.

51249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 51249600 is about 7158.8825943718. The cubic root of 51249600 is about 371.4469757012.

The spelling of 51249600 in words is "fifty-one million, two hundred forty-nine thousand, six hundred".