51408306756 has 243 divisors, whose sum is σ = 143066225757. Its totient is φ = 15563021760.

The previous prime is 51408306751. The next prime is 51408306769. The reversal of 51408306756 is 65760380415.

The square root of 51408306756 is 226734.

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

51408306756 is a `hidden beast` number, since 514 + 0 + 83 + 0 + 6 + 7 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37060100100 + 14348206656 = 192510^2 + 119784^2 .

It is not an unprimeable number, because it can be changed into a prime (51408306751) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 969968026 + ... + 969968078.

Almost surely, 2^51408306756 is an apocalyptic number.

51408306756 is the 226734-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51408306756

51408306756 is an abundant number, since it is smaller than the sum of its proper divisors (91657919001).

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

51408306756 is a wasteful number, since it uses less digits than its factorization.

51408306756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 51408306756 in words is "fifty-one billion, four hundred eight million, three hundred six thousand, seven hundred fifty-six".