51038010 has 48 divisors (see below), whose sum is σ = 133346304. Its totient is φ = 13543776.

The previous prime is 51038003. The next prime is 51038011. The reversal of 51038010 is 1083015.

It is a happy number.

51038010 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 (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51038011) 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 23 ways as a sum of consecutive naturals, for example, 18799 + ... + 21341.

It is an arithmetic number, because the mean of its divisors is an integer number (2778048).

Almost surely, 2^51038010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51038010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66673152).

51038010 is an abundant number, since it is smaller than the sum of its proper divisors (82308294).

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

51038010 is a wasteful number, since it uses less digits than its factorization.

51038010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 51038010 is about 7144.0891651770. The cubic root of 51038010 is about 370.9350830781.

The spelling of 51038010 in words is "fifty-one million, thirty-eight thousand, ten".