51784918969 has 81 divisors (see below), whose sum is σ = 66979810287. Its totient is φ = 39912729696.

The previous prime is 51784918961. The next prime is 51784918987. The reversal of 51784918969 is 96981948715.

The square root of 51784918969 is 227563.

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., 27154755369 + 24630163600 = 164787^2 + 156940^2 .

It is not a de Polignac number, because 51784918969 - 2³ = 51784918961 is a prime.

It is a super-2 number, since 2×51784918969² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51784918961) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 877710462 + ... + 877710520.

Almost surely, 2^51784918969 is an apocalyptic number.

51784918969 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

51784918969 is the 227563-rd square number.

51784918969 is the 113782-nd centered octagonal number.

It is an amenable number.

51784918969 is a deficient number, since it is larger than the sum of its proper divisors (15194891318).

51784918969 is an equidigital number, since it uses as much as digits as its factorization.

51784918969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 67.

The spelling of 51784918969 in words is "fifty-one billion, seven hundred eighty-four million, nine hundred eighteen thousand, nine hundred sixty-nine".