505610510105 has 16 divisors (see below), whose sum is σ = 630876225024. Its totient is φ = 388583149440.

The previous prime is 505610510071. The next prime is 505610510129. The reversal of 505610510105 is 501015016505.

It is a happy number.

It is not a de Polignac number, because 505610510105 - 2¹⁰ = 505610509081 is a prime.

It is a super-2 number, since 2×505610510105² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

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, 11883887 + ... + 11926356.

It is an arithmetic number, because the mean of its divisors is an integer number (39429764064).

Almost surely, 2^505610510105 is an apocalyptic number.

It is an amenable number.

505610510105 is a deficient number, since it is larger than the sum of its proper divisors (125265714919).

505610510105 is a wasteful number, since it uses less digits than its factorization.

505610510105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23810416.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 505610510105 in words is "five hundred five billion, six hundred ten million, five hundred ten thousand, one hundred five".