51177888 has 72 divisors (see below), whose sum is σ = 154112868. Its totient is φ = 16054272.

The previous prime is 51177853. The next prime is 51177911. The reversal of 51177888 is 88877115.

It can be written as a sum of positive squares in 2 ways, for example, as 40602384 + 10575504 = 6372^2 + 3252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 331 + ... + 10122.

Almost surely, 2^51177888 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 51177888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77056434).

51177888 is an abundant number, since it is smaller than the sum of its proper divisors (102934980).

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

51177888 is a wasteful number, since it uses less digits than its factorization.

51177888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10486 (or 10475 counting only the distinct ones).

The product of its digits is 125440, while the sum is 45.

The square root of 51177888 is about 7153.8722381658. The cubic root of 51177888 is about 371.2736433604.

The spelling of 51177888 in words is "fifty-one million, one hundred seventy-seven thousand, eight hundred eighty-eight".