51586740476881 has 9 divisors (see below), whose sum is σ = 51625259645211. Its totient is φ = 51548250043512.

The previous prime is 51586740476833. The next prime is 51586740476923. The reversal of 51586740476881 is 18867404768515.

It is a happy number.

The square root of 51586740476881 is 7182391.

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., 959018697025 + 50627721779856 = 979295^2 + 7115316^2 .

It is not a de Polignac number, because 51586740476881 - 2¹⁹ = 51586739952593 is a prime.

It is a super-2 number, since 2×51586740476881² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51586740476881.

It is not an unprimeable number, because it can be changed into a prime (51586740486881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19227259366 + ... + 19227262048.

It is an arithmetic number, because the mean of its divisors is an integer number (5736139960579).

Almost surely, 2^{51586740476881} is an apocalyptic number.

51586740476881 is the 7182391-st square number.

51586740476881 is the 3591196-th centered octagonal number.

It is an amenable number.

51586740476881 is a deficient number, since it is larger than the sum of its proper divisors (38519168330).

51586740476881 is an frugal number, since it uses more digits than its factorization.

51586740476881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10720 (or 5360 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 70.

The spelling of 51586740476881 in words is "fifty-one trillion, five hundred eighty-six billion, seven hundred forty million, four hundred seventy-six thousand, eight hundred eighty-one".