51584509 has 2 divisors, whose sum is σ = 51584510. Its totient is φ = 51584508.

The previous prime is 51584497. The next prime is 51584513. The reversal of 51584509 is 90548515.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30008484 + 21576025 = 5478^2 + 4645^2 .

It is a cyclic number.

It is not a de Polignac number, because 51584509 - 2⁹ = 51583997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51584539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25792254 + 25792255.

It is an arithmetic number, because the mean of its divisors is an integer number (25792255).

Almost surely, 2^51584509 is an apocalyptic number.

It is an amenable number.

51584509 is a deficient number, since it is larger than the sum of its proper divisors (1).

51584509 is an equidigital number, since it uses as much as digits as its factorization.

51584509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36000, while the sum is 37.

The square root of 51584509 is about 7182.2356547248. The cubic root of 51584509 is about 372.2543376694.

The spelling of 51584509 in words is "fifty-one million, five hundred eighty-four thousand, five hundred nine".