51430982656 has 99 divisors (see below), whose sum is σ = 108799366221. Its totient is φ = 24296730624.

The previous prime is 51430982633. The next prime is 51430982711. The reversal of 51430982656 is 65628903415.

The square root of 51430982656 is 226784.

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

It can be written as a sum of positive squares in only one way, i.e., 27955840000 + 23475142656 = 167200^2 + 153216^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 137884486 + ... + 137884858.

Almost surely, 2^51430982656 is an apocalyptic number.

51430982656 is the 226784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51430982656

51430982656 is an abundant number, since it is smaller than the sum of its proper divisors (57368383565).

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

51430982656 is an frugal number, since it uses more digits than its factorization.

51430982656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

Multiplying 51430982656 by its sum of digits (49), we get a square (2520118150144 = 1587488²).

The spelling of 51430982656 in words is "fifty-one billion, four hundred thirty million, nine hundred eighty-two thousand, six hundred fifty-six".