51501763600 has 135 divisors (see below), whose sum is σ = 144023139351. Its totient is φ = 17646854400.

The previous prime is 51501763597. The next prime is 51501763631. The reversal of 51501763600 is 636710515.

The square root of 51501763600 is 226940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1024256016 + 50477507584 = 32004^2 + 224672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31770790 + ... + 31772410.

Almost surely, 2^51501763600 is an apocalyptic number.

51501763600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51501763600 is the 226940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51501763600

51501763600 is an abundant number, since it is smaller than the sum of its proper divisors (92521375751).

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

51501763600 is an equidigital number, since it uses as much as digits as its factorization.

51501763600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The spelling of 51501763600 in words is "fifty-one billion, five hundred one million, seven hundred sixty-three thousand, six hundred".