505505561105 has 16 divisors (see below), whose sum is σ = 628111357200. Its totient is φ = 390094091520.

The previous prime is 505505561069. The next prime is 505505561147. The reversal of 505505561105 is 501165505505.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17104454656 + 488401106449 = 130784^2 + 698857^2 .

It is not a de Polignac number, because 505505561105 - 2¹⁰ = 505505560081 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1475606 + ... + 1785615.

It is an arithmetic number, because the mean of its divisors is an integer number (39256959825).

Almost surely, 2^505505561105 is an apocalyptic number.

It is an amenable number.

505505561105 is a deficient number, since it is larger than the sum of its proper divisors (122605796095).

505505561105 is a wasteful number, since it uses less digits than its factorization.

505505561105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262324.

The product of its (nonzero) digits is 93750, while the sum is 38.

The spelling of 505505561105 in words is "five hundred five billion, five hundred five million, five hundred sixty-one thousand, one hundred five".