51767525248 has 256 divisors, whose sum is σ = 120949804800. Its totient is φ = 21905178624.

The previous prime is 51767525237. The next prime is 51767525261. The reversal of 51767525248 is 84252576715.

It is a junction number, because it is equal to n+sod(n) for n = 51767525195 and 51767525204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65777911 + ... + 65778697.

It is an arithmetic number, because the mean of its divisors is an integer number (472460175).

Almost surely, 2^51767525248 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 51767525248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60474902400).

51767525248 is an abundant number, since it is smaller than the sum of its proper divisors (69182279552).

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

51767525248 is a wasteful number, since it uses less digits than its factorization.

51767525248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 905 counting only the distinct ones).

The product of its digits is 4704000, while the sum is 52.

The spelling of 51767525248 in words is "fifty-one billion, seven hundred sixty-seven million, five hundred twenty-five thousand, two hundred forty-eight".