51845000 has 40 divisors (see below), whose sum is σ = 121484550. Its totient is φ = 20736000.

The previous prime is 51844987. The next prime is 51845009. The reversal of 51845000 is 54815.

It can be written as a sum of positive squares in 5 ways, for example, as 1406596 + 50438404 = 1186^2 + 7102^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (51845009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 185 + ... + 10184.

Almost surely, 2^51845000 is an apocalyptic number.

51845000 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 51845000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60742275).

51845000 is an abundant number, since it is smaller than the sum of its proper divisors (69639550).

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

51845000 is a wasteful number, since it uses less digits than its factorization.

51845000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10395 (or 10376 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 51845000 is about 7200.3472138502. The cubic root of 51845000 is about 372.8798881088.

Adding to 51845000 its reverse (54815), we get a palindrome (51899815).

The spelling of 51845000 in words is "fifty-one million, eight hundred forty-five thousand".