511105661667 has 16 divisors (see below), whose sum is σ = 757617367680. Its totient is φ = 340546400136.

The previous prime is 511105661581. The next prime is 511105661681. The reversal of 511105661667 is 766166501115.

511105661667 is a `hidden beast` number, since 5 + 1 + 1 + 10 + 566 + 16 + 67 = 666.

It is not a de Polignac number, because 511105661667 - 2¹⁸ = 511105399523 is a prime.

It is a super-2 number, since 2×511105661667² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511105661687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5248293 + ... + 5344790.

It is an arithmetic number, because the mean of its divisors is an integer number (47351085480).

Almost surely, 2^511105661667 is an apocalyptic number.

511105661667 is a deficient number, since it is larger than the sum of its proper divisors (246511706013).

511105661667 is a wasteful number, since it uses less digits than its factorization.

511105661667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10594879 (or 10594873 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 511105661667 in words is "five hundred eleven billion, one hundred five million, six hundred sixty-one thousand, six hundred sixty-seven".