51006065617 has 16 divisors (see below), whose sum is σ = 58370799312. Its totient is φ = 44152934400.

The previous prime is 51006065603. The next prime is 51006065659. The reversal of 51006065617 is 71656060015.

51006065617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4124722176 + 46881343441 = 64224^2 + 216521^2 .

It is a cyclic number.

It is not a de Polignac number, because 51006065617 - 2¹¹ = 51006063569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51006065417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355384 + ... + 477817.

It is an arithmetic number, because the mean of its divisors is an integer number (3648174957).

Almost surely, 2^51006065617 is an apocalyptic number.

It is an amenable number.

51006065617 is a deficient number, since it is larger than the sum of its proper divisors (7364733695).

51006065617 is a wasteful number, since it uses less digits than its factorization.

51006065617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833508.

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 51006065617 in words is "fifty-one billion, six million, sixty-five thousand, six hundred seventeen".