505540045505 has 24 divisors (see below), whose sum is σ = 666871628136. Its totient is φ = 367632334080.

The previous prime is 505540045499. The next prime is 505540045553.

505540045505 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 31430680369 + 474109365136 = 177287^2 + 688556^2 .

It is not a de Polignac number, because 505540045505 - 2⁶ = 505540045441 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8144447 + ... + 8206283.

It is an arithmetic number, because the mean of its divisors is an integer number (27786317839).

Almost surely, 2^505540045505 is an apocalyptic number.

505540045505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505540045505 is a deficient number, since it is larger than the sum of its proper divisors (161331582631).

505540045505 is a wasteful number, since it uses less digits than its factorization.

505540045505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75377 (or 75366 counting only the distinct ones).

The product of its (nonzero) digits is 250000, while the sum is 38.

The spelling of 505540045505 in words is "five hundred five billion, five hundred forty million, forty-five thousand, five hundred five".