51365774328064 has 243 divisors, whose sum is σ = 120793819335357. Its totient is φ = 21736282681344.

The previous prime is 51365774328061. The next prime is 51365774328067. The reversal of 51365774328064 is 46082347756315.

The square root of 51365774328064 is 7166992.

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

It is an interprime number because it is at equal distance from previous prime (51365774328061) and next prime (51365774328067).

It can be written as a sum of positive squares in only one way, i.e., 9863318110464 + 41502456217600 = 3140592^2 + 6442240^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51365774327993 and 51365774328011.

It is not an unprimeable number, because it can be changed into a prime (51365774328061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71440575897 + ... + 71440576615.

Almost surely, 2^{51365774328064} is an apocalyptic number.

51365774328064 is the 7166992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51365774328064

51365774328064 is an abundant number, since it is smaller than the sum of its proper divisors (69428045007293).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51365774328064 is an frugal number, since it uses more digits than its factorization.

51365774328064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 61.

The spelling of 51365774328064 in words is "fifty-one trillion, three hundred sixty-five billion, seven hundred seventy-four million, three hundred twenty-eight thousand, sixty-four".