51442776100 has 81 divisors (see below), whose sum is σ = 114916881177. Its totient is φ = 19988311680.

The previous prime is 51442776043. The next prime is 51442776109. The reversal of 51442776100 is 167724415.

The square root of 51442776100 is 226810.

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

It can be written as a sum of positive squares in 13 ways, for example, as 44704336356 + 6738439744 = 211434^2 + 82088^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51442776100.

It is not an unprimeable number, because it can be changed into a prime (51442776109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 83919394 + ... + 83920006.

Almost surely, 2^51442776100 is an apocalyptic number.

51442776100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51442776100 is the 226810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51442776100

51442776100 is an abundant number, since it is smaller than the sum of its proper divisors (63474105077).

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

51442776100 is an equidigital number, since it uses as much as digits as its factorization.

51442776100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 51442776100 in words is "fifty-one billion, four hundred forty-two million, seven hundred seventy-six thousand, one hundred".