51648925696 has 117 divisors (see below), whose sum is σ = 106865445981. Its totient is φ = 24959041536.

The previous prime is 51648925667. The next prime is 51648925723. The reversal of 51648925696 is 69652984615.

The square root of 51648925696 is 227264.

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., 37233561600 + 14415364096 = 192960^2 + 120064^2 .

It is a super-3 number, since 3×51648925696³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 770879455 + ... + 770879521.

Almost surely, 2^51648925696 is an apocalyptic number.

51648925696 is the 227264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51648925696

51648925696 is an abundant number, since it is smaller than the sum of its proper divisors (55216520285).

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

51648925696 is an frugal number, since it uses more digits than its factorization.

51648925696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 122 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 61.

The spelling of 51648925696 in words is "fifty-one billion, six hundred forty-eight million, nine hundred twenty-five thousand, six hundred ninety-six".