51657200 has 120 divisors (see below), whose sum is σ = 149454720. Its totient is φ = 16761600.

The previous prime is 51657197. The next prime is 51657223. The reversal of 51657200 is 275615.

It is a self number, because there is not a number n which added to its sum of digits gives 51657200.

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, 52715 + ... + 53685.

It is an arithmetic number, because the mean of its divisors is an integer number (1245456).

Almost surely, 2^51657200 is an apocalyptic number.

51657200 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 51657200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74727360).

51657200 is an abundant number, since it is smaller than the sum of its proper divisors (97797520).

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

51657200 is a wasteful number, since it uses less digits than its factorization.

51657200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 51657200 is about 7187.2943448839. The cubic root of 51657200 is about 372.4291113246.

The spelling of 51657200 in words is "fifty-one million, six hundred fifty-seven thousand, two hundred".