51076000 has 72 divisors (see below), whose sum is σ = 126614124. Its totient is φ = 20249600.

The previous prime is 51075979. The next prime is 51076027. The reversal of 51076000 is 67015.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 10575504 + 40500496 = 3252^2 + 6364^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 451944 + ... + 452056.

Almost surely, 2^51076000 is an apocalyptic number.

51076000 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 51076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63307062).

51076000 is an abundant number, since it is smaller than the sum of its proper divisors (75538124).

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

51076000 is an equidigital number, since it uses as much as digits as its factorization.

51076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 51076000 is about 7146.7475119805. The cubic root of 51076000 is about 371.0270950828.

The spelling of 51076000 in words is "fifty-one million, seventy-six thousand".