51777544 has 48 divisors (see below), whose sum is σ = 120165120. Its totient is φ = 20479680.

The previous prime is 51777491. The next prime is 51777553. The reversal of 51777544 is 44577715.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 51777497 and 51777506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6729 + ... + 12199.

It is an arithmetic number, because the mean of its divisors is an integer number (2503440).

Almost surely, 2^51777544 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 51777544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60082560).

51777544 is an abundant number, since it is smaller than the sum of its proper divisors (68387576).

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

51777544 is a wasteful number, since it uses less digits than its factorization.

51777544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5493 counting only the distinct ones).

The product of its digits is 137200, while the sum is 40.

The square root of 51777544 is about 7195.6614706363. The cubic root of 51777544 is about 372.7180987845.

It can be divided in two parts, 5177 and 7544, that added together give a palindrome (12721).

The spelling of 51777544 in words is "fifty-one million, seven hundred seventy-seven thousand, five hundred forty-four".