505011003 has 48 divisors (see below), whose sum is σ = 801166464. Its totient is φ = 282078720.

The previous prime is 505010983. The next prime is 505011011. The reversal of 505011003 is 300110505.

It is not a de Polignac number, because 505011003 - 2¹⁰ = 505009979 is a prime.

It is a super-2 number, since 2×505011003² = 510072226302132018, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (505011043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1525548 + ... + 1525878.

It is an arithmetic number, because the mean of its divisors is an integer number (16690968).

Almost surely, 2^505011003 is an apocalyptic number.

505011003 is a deficient number, since it is larger than the sum of its proper divisors (296155461).

505011003 is a wasteful number, since it uses less digits than its factorization.

505011003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 505011003 is about 22472.4498664476. The cubic root of 505011003 is about 796.3432077017.

Adding to 505011003 its reverse (300110505), we get a palindrome (805121508).

The spelling of 505011003 in words is "five hundred five million, eleven thousand, three".