51688477201 has 9 divisors (see below), whose sum is σ = 52228513659. Its totient is φ = 51153975000.

The previous prime is 51688477189. The next prime is 51688477219. The reversal of 51688477201 is 10277488615.

The square root of 51688477201 is 227351.

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., 49661676801 + 2026800400 = 222849^2 + 45020^2 .

It is not a de Polignac number, because 51688477201 - 2⁷ = 51688477073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51688477241) 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, 22961326 + ... + 22963576.

Almost surely, 2^51688477201 is an apocalyptic number.

51688477201 is the 227351-st square number.

51688477201 is the 113676-th centered octagonal number.

It is an amenable number.

51688477201 is a deficient number, since it is larger than the sum of its proper divisors (540036458).

51688477201 is an frugal number, since it uses more digits than its factorization.

51688477201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4704 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 49.

Multiplying 51688477201 by its sum of digits (49), we get a square (2532735382849 = 1591457²).

The spelling of 51688477201 in words is "fifty-one billion, six hundred eighty-eight million, four hundred seventy-seven thousand, two hundred one".