51928838641 has 9 divisors (see below), whose sum is σ = 52258831563. Its totient is φ = 51600920760.

The previous prime is 51928838627. The next prime is 51928838651. The reversal of 51928838641 is 14683882915.

It is a happy number.

The square root of 51928838641 is 227879.

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

51928838641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 572214241 + 51356624400 = 23921^2 + 226620^2 .

It is a de Polignac number, because none of the positive numbers 2^k-51928838641 is a prime.

It is a Duffinian number.

Its product of digits (3317760) is a multiple of the sum of its prime divisors (1440).

It is not an unprimeable number, because it can be changed into a prime (51928838651) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41245470 + ... + 41246728.

Almost surely, 2^51928838641 is an apocalyptic number.

51928838641 is the 227879-th square number.

51928838641 is the 113940-th centered octagonal number.

It is an amenable number.

51928838641 is a deficient number, since it is larger than the sum of its proper divisors (329992922).

51928838641 is an frugal number, since it uses more digits than its factorization.

51928838641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 1440 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 55.

The spelling of 51928838641 in words is "fifty-one billion, nine hundred twenty-eight million, eight hundred thirty-eight thousand, six hundred forty-one".