51286500 has 192 divisors, whose sum is σ = 172972800. Its totient is φ = 13104000.

The previous prime is 51286489. The next prime is 51286507. The reversal of 51286500 is 568215.

51286500 is a `hidden beast` number, since 5 + 1 + 2 + 8 + 650 + 0 = 666.

51286500 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51286507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 391435 + ... + 391565.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 2^51286500 is an apocalyptic number.

51286500 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 51286500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

51286500 is an abundant number, since it is smaller than the sum of its proper divisors (121686300).

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

51286500 is a wasteful number, since it uses less digits than its factorization.

51286500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 51286500 is about 7161.4593484848. The cubic root of 51286500 is about 371.5361022840.

It can be divided in two parts, 5128 and 6500, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 51286500 in words is "fifty-one million, two hundred eighty-six thousand, five hundred".