51001776 has 120 divisors (see below), whose sum is σ = 171774720. Its totient is φ = 13799808.

The previous prime is 51001763. The next prime is 51001777. The reversal of 51001776 is 67710015.

It is not an unprimeable number, because it can be changed into a prime (51001777) 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, 17821 + ... + 20483.

It is an arithmetic number, because the mean of its divisors is an integer number (1431456).

Almost surely, 2^51001776 is an apocalyptic number.

51001776 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 51001776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85887360).

51001776 is an abundant number, since it is smaller than the sum of its proper divisors (120772944).

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

51001776 is a wasteful number, since it uses less digits than its factorization.

51001776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 51001776 is about 7141.5527723318. The cubic root of 51001776 is about 370.8472815638.

The spelling of 51001776 in words is "fifty-one million, one thousand, seven hundred seventy-six".