51000096 has 96 divisors (see below), whose sum is σ = 158336640. Its totient is φ = 14063616.

The previous prime is 51000083. The next prime is 51000113. The reversal of 51000096 is 69000015.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18180 + ... + 20796.

It is an arithmetic number, because the mean of its divisors is an integer number (1649340).

Almost surely, 2^51000096 is an apocalyptic number.

51000096 is a gapful number since it is divisible by the number (56) 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 51000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79168320).

51000096 is an abundant number, since it is smaller than the sum of its proper divisors (107336544).

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

51000096 is a wasteful number, since it uses less digits than its factorization.

51000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 51000096 is about 7141.4351498841. The cubic root of 51000096 is about 370.8432096123.

It can be divided in two parts, 5100009 and 6, that added together give a palindrome (5100015).

The spelling of 51000096 in words is "fifty-one million, ninety-six", and thus it is an aban number and an uban number.