51931117456 has 45 divisors (see below), whose sum is σ = 105223854001. Its totient is φ = 24826594496.

The previous prime is 51931117451. The next prime is 51931117457. The reversal of 51931117456 is 65471113915.

The square root of 51931117456 is 227884.

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., 26069331600 + 25861785856 = 161460^2 + 160816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51931117451) 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 8 ways as a sum of consecutive naturals, for example, 20964090 + ... + 20966566.

Almost surely, 2^51931117456 is an apocalyptic number.

51931117456 is the 227884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51931117456

51931117456 is an abundant number, since it is smaller than the sum of its proper divisors (53292736545).

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

51931117456 is an frugal number, since it uses more digits than its factorization.

51931117456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 2502 counting only the distinct ones).

The product of its digits is 113400, while the sum is 43.

The spelling of 51931117456 in words is "fifty-one billion, nine hundred thirty-one million, one hundred seventeen thousand, four hundred fifty-six".