504045540405 has 96 divisors (see below), whose sum is σ = 963514880640. Its totient is φ = 241721280000.

The previous prime is 504045540379. The next prime is 504045540409.

504045540405 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 504045540405 - 2²² = 504041346101 is a prime.

It is a super-3 number, since 3×504045540405³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 504045540405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504045540409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55439910 + ... + 55449000.

It is an arithmetic number, because the mean of its divisors is an integer number (10036613340).

Almost surely, 2^504045540405 is an apocalyptic number.

504045540405 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

504045540405 is a deficient number, since it is larger than the sum of its proper divisors (459469340235).

504045540405 is a wasteful number, since it uses less digits than its factorization.

504045540405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10323 (or 10320 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The spelling of 504045540405 in words is "five hundred four billion, forty-five million, five hundred forty thousand, four hundred five".