51362516689 has 15 divisors (see below), whose sum is σ = 56528598315. Its totient is φ = 46668267360.

The previous prime is 51362516683. The next prime is 51362516713. The reversal of 51362516689 is 98661526315.

The square root of 51362516689 is 226633.

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., 1361979025 + 50000537664 = 36905^2 + 223608^2 .

It is a de Polignac number, because none of the positive numbers 2^k-51362516689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51362516683) 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, 27421657 + ... + 27423529.

It is an arithmetic number, because the mean of its divisors is an integer number (3768573221).

Almost surely, 2^51362516689 is an apocalyptic number.

51362516689 is the 226633-rd square number.

51362516689 is the 113317-th centered octagonal number.

It is an amenable number.

51362516689 is a deficient number, since it is larger than the sum of its proper divisors (5166081626).

51362516689 is an frugal number, since it uses more digits than its factorization.

51362516689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790 (or 1884 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 52.

The spelling of 51362516689 in words is "fifty-one billion, three hundred sixty-two million, five hundred sixteen thousand, six hundred eighty-nine".