51506045609 has 2 divisors, whose sum is σ = 51506045610. Its totient is φ = 51506045608.

The previous prime is 51506045581. The next prime is 51506045627. The reversal of 51506045609 is 90654060515.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29956686400 + 21549359209 = 173080^2 + 146797^2 .

It is a cyclic number.

It is not a de Polignac number, because 51506045609 - 2²⁴ = 51489268393 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (51506045659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25753022804 + 25753022805.

It is an arithmetic number, because the mean of its divisors is an integer number (25753022805).

Almost surely, 2^51506045609 is an apocalyptic number.

It is an amenable number.

51506045609 is a deficient number, since it is larger than the sum of its proper divisors (1).

51506045609 is an equidigital number, since it uses as much as digits as its factorization.

51506045609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162000, while the sum is 41.

The spelling of 51506045609 in words is "fifty-one billion, five hundred six million, forty-five thousand, six hundred nine".