51347106801 has 9 divisors (see below), whose sum is σ = 74169025099. Its totient is φ = 34230951336.

The previous prime is 51347106793. The next prime is 51347106829. The reversal of 51347106801 is 10860174315.

The square root of 51347106801 is 226599.

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., 34323120225 + 17023986576 = 185265^2 + 130476^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 51347106801 - 2³ = 51347106793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51347106101) 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, 642031 + ... + 717563.

Almost surely, 2^51347106801 is an apocalyptic number.

51347106801 is the 226599-th square number.

51347106801 is the 113300-th centered octagonal number.

It is an amenable number.

51347106801 is a deficient number, since it is larger than the sum of its proper divisors (22821918298).

51347106801 is an frugal number, since it uses more digits than its factorization.

51347106801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151072 (or 75536 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Multiplying 51347106801 by its sum of digits (36), we get a square (1848495844836 = 1359594²).

The spelling of 51347106801 in words is "fifty-one billion, three hundred forty-seven million, one hundred six thousand, eight hundred one".