51584724817 has 2 divisors, whose sum is σ = 51584724818. Its totient is φ = 51584724816.

The previous prime is 51584724781. The next prime is 51584724833. The reversal of 51584724817 is 71842748515.

Together with previous prime (51584724781) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36681442576 + 14903282241 = 191524^2 + 122079^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51584724817 is a prime.

It is not a weakly prime, because it can be changed into another prime (51584724887) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25792362408 + 25792362409.

It is an arithmetic number, because the mean of its divisors is an integer number (25792362409).

Almost surely, 2^51584724817 is an apocalyptic number.

It is an amenable number.

51584724817 is a deficient number, since it is larger than the sum of its proper divisors (1).

51584724817 is an equidigital number, since it uses as much as digits as its factorization.

51584724817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2508800, while the sum is 52.

The spelling of 51584724817 in words is "fifty-one billion, five hundred eighty-four million, seven hundred twenty-four thousand, eight hundred seventeen".