505040040505 has 64 divisors (see below), whose sum is σ = 814429905408. Its totient is φ = 290357084160.

The previous prime is 505040040493. The next prime is 505040040511.

505040040505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 505040040505 - 2¹⁹ = 505039516217 is a prime.

It is an unprimeable number.

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 in 63 ways as a sum of consecutive naturals, for example, 5727007 + ... + 5814523.

It is an arithmetic number, because the mean of its divisors is an integer number (12725467272).

Almost surely, 2^505040040505 is an apocalyptic number.

505040040505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505040040505 is a deficient number, since it is larger than the sum of its proper divisors (309389864903).

505040040505 is a wasteful number, since it uses less digits than its factorization.

505040040505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88706.

The product of its (nonzero) digits is 10000, while the sum is 28.

It can be divided in two parts, 5050400 and 40505, that added together give a palindrome (5090905).

The spelling of 505040040505 in words is "five hundred five billion, forty million, forty thousand, five hundred five".