51019967376 has 135 divisors (see below), whose sum is σ = 166158684081. Its totient is φ = 14571712512.

The previous prime is 51019967357. The next prime is 51019967407. The reversal of 51019967376 is 67376991015.

It is a happy number.

The square root of 51019967376 is 225876.

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

51019967376 is a `hidden beast` number, since 510 + 1 + 9 + 96 + 7 + 37 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1842469776 + 49177497600 = 42924^2 + 221760^2 .

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 26 ways as a sum of consecutive naturals, for example, 18972240 + ... + 18974928.

Almost surely, 2^51019967376 is an apocalyptic number.

51019967376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

51019967376 is the 225876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51019967376

51019967376 is an abundant number, since it is smaller than the sum of its proper divisors (115138716705).

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

51019967376 is an equidigital number, since it uses as much as digits as its factorization.

51019967376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 51019967376 in words is "fifty-one billion, nineteen million, nine hundred sixty-seven thousand, three hundred seventy-six".