51038000 has 120 divisors (see below), whose sum is σ = 134518176. Its totient is φ = 18720000.

The previous prime is 51037991. The next prime is 51038003. The reversal of 51038000 is 83015.

It is a self number, because there is not a number n which added to its sum of digits gives 51038000.

It is not an unprimeable number, because it can be changed into a prime (51038003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337925 + ... + 338075.

Almost surely, 2^51038000 is an apocalyptic number.

51038000 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 51038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67259088).

51038000 is an abundant number, since it is smaller than the sum of its proper divisors (83480176).

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

51038000 is a wasteful number, since it uses less digits than its factorization.

51038000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 51038000 is about 7144.0884652977. The cubic root of 51038000 is about 370.9350588520.

The spelling of 51038000 in words is "fifty-one million, thirty-eight thousand".