51777936 has 120 divisors (see below), whose sum is σ = 171052544. Its totient is φ = 14307840.

The previous prime is 51777919. The next prime is 51777949. The reversal of 51777936 is 63977715.

It is a junction number, because it is equal to n+sod(n) for n = 51777891 and 51777900.

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, 30420 + ... + 32076.

Almost surely, 2^51777936 is an apocalyptic number.

51777936 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 51777936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85526272).

51777936 is an abundant number, since it is smaller than the sum of its proper divisors (119274608).

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

51777936 is a wasteful number, since it uses less digits than its factorization.

51777936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1700 counting only the distinct ones).

The product of its digits is 277830, while the sum is 45.

The square root of 51777936 is about 7195.6887092203. The cubic root of 51777936 is about 372.7190393797.

The spelling of 51777936 in words is "fifty-one million, seven hundred seventy-seven thousand, nine hundred thirty-six".