51310857361 has 27 divisors (see below), whose sum is σ = 54387392241. Its totient is φ = 48406204224.

The previous prime is 51310857329. The next prime is 51310857449. The reversal of 51310857361 is 16375801315.

The square root of 51310857361 is 226519.

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

It can be written as a sum of positive squares in 4 ways, for example, as 435348225 + 50875509136 = 20865^2 + 225556^2 .

It is not a de Polignac number, because 51310857361 - 2⁵ = 51310857329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51310857761) 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 26 ways as a sum of consecutive naturals, for example, 479540670 + ... + 479540776.

Almost surely, 2^51310857361 is an apocalyptic number.

51310857361 is the 226519-th square number.

51310857361 is the 113260-th centered octagonal number.

It is an amenable number.

51310857361 is a deficient number, since it is larger than the sum of its proper divisors (3076534880).

51310857361 is an frugal number, since it uses more digits than its factorization.

51310857361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 51310857361 in words is "fifty-one billion, three hundred ten million, eight hundred fifty-seven thousand, three hundred sixty-one".