509745058457 has 2 divisors, whose sum is σ = 509745058458. Its totient is φ = 509745058456.

The previous prime is 509745058447. The next prime is 509745058547. The reversal of 509745058457 is 754850547905.

Together with next prime (509745058547) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 280628705536 + 229116352921 = 529744^2 + 478661^2 .

It is a cyclic number.

It is not a de Polignac number, because 509745058457 - 2⁴ = 509745058441 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 509745058396 and 509745058405.

It is not a weakly prime, because it can be changed into another prime (509745058447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 254872529228 + 254872529229.

It is an arithmetic number, because the mean of its divisors is an integer number (254872529229).

Almost surely, 2^509745058457 is an apocalyptic number.

It is an amenable number.

509745058457 is a deficient number, since it is larger than the sum of its proper divisors (1).

509745058457 is an equidigital number, since it uses as much as digits as its factorization.

509745058457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35280000, while the sum is 59.

The spelling of 509745058457 in words is "five hundred nine billion, seven hundred forty-five million, fifty-eight thousand, four hundred fifty-seven".