51582131689 has 15 divisors (see below), whose sum is σ = 56770237735. Its totient is φ = 46867864120.

The previous prime is 51582131609. The next prime is 51582131701. The reversal of 51582131689 is 98613128515.

The square root of 51582131689 is 227117.

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., 32286699225 + 19295432464 = 179685^2 + 138908^2 .

It is not a de Polignac number, because 51582131689 - 2⁹ = 51582131177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51582131609) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 27480219 + ... + 27482095.

Almost surely, 2^51582131689 is an apocalyptic number.

51582131689 is the 227117-th square number.

51582131689 is the 113559-th centered octagonal number.

It is an amenable number.

51582131689 is a deficient number, since it is larger than the sum of its proper divisors (5188106046).

51582131689 is an frugal number, since it uses more digits than its factorization.

51582131689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798 (or 1888 counting only the distinct ones).

The product of its digits is 518400, while the sum is 49.

Multiplying 51582131689 by its sum of digits (49), we get a square (2527524452761 = 1589819²).

The spelling of 51582131689 in words is "fifty-one billion, five hundred eighty-two million, one hundred thirty-one thousand, six hundred eighty-nine".