51289000 has 128 divisors (see below), whose sum is σ = 145566720. Its totient is φ = 16512000.

The previous prime is 51288977. The next prime is 51289003. The reversal of 51289000 is 98215.

51289000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (51289003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118785 + ... + 119215.

It is an arithmetic number, because the mean of its divisors is an integer number (1137240).

Almost surely, 2^51289000 is an apocalyptic number.

51289000 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 51289000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72783360).

51289000 is an abundant number, since it is smaller than the sum of its proper divisors (94277720).

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

51289000 is a wasteful number, since it uses less digits than its factorization.

51289000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 51289000 is about 7161.6338917875. The cubic root of 51289000 is about 371.5421391239.

The spelling of 51289000 in words is "fifty-one million, two hundred eighty-nine thousand".