51081876 has 72 divisors (see below), whose sum is σ = 135069480. Its totient is φ = 16257024.

The previous prime is 51081851. The next prime is 51081911. The reversal of 51081876 is 67818015.

It can be written as a sum of positive squares in 4 ways, for example, as 1040400 + 50041476 = 1020^2 + 7074^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51081876.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117756 + ... + 118188.

It is an arithmetic number, because the mean of its divisors is an integer number (1875965).

Almost surely, 2^51081876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51081876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67534740).

51081876 is an abundant number, since it is smaller than the sum of its proper divisors (83987604).

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

51081876 is a wasteful number, since it uses less digits than its factorization.

51081876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 51081876 is about 7147.1585962535. The cubic root of 51081876 is about 371.0413227149.

The spelling of 51081876 in words is "fifty-one million, eighty-one thousand, eight hundred seventy-six".