511006345567 has 2 divisors, whose sum is σ = 511006345568. Its totient is φ = 511006345566.

The previous prime is 511006345519. The next prime is 511006345631. The reversal of 511006345567 is 765543600115.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 511006345567 - 2¹⁹ = 511005821279 is a prime.

It is a super-2 number, since 2×511006345567² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (511006340567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 255503172783 + 255503172784.

It is an arithmetic number, because the mean of its divisors is an integer number (255503172784).

Almost surely, 2^511006345567 is an apocalyptic number.

511006345567 is a deficient number, since it is larger than the sum of its proper divisors (1).

511006345567 is an equidigital number, since it uses as much as digits as its factorization.

511006345567 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378000, while the sum is 43.

The spelling of 511006345567 in words is "five hundred eleven billion, six million, three hundred forty-five thousand, five hundred sixty-seven".