506005507 has 24 divisors (see below), whose sum is σ = 605276160. Its totient is φ = 421621200.

The previous prime is 506005483. The next prime is 506005523. The reversal of 506005507 is 705500605.

It is not a de Polignac number, because 506005507 - 2¹⁹ = 505481219 is a prime.

It is a super-2 number, since 2×506005507² = 512083146228654098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506005537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258382 + ... + 260332.

It is an arithmetic number, because the mean of its divisors is an integer number (25219840).

Almost surely, 2^506005507 is an apocalyptic number.

506005507 is a deficient number, since it is larger than the sum of its proper divisors (99270653).

506005507 is a wasteful number, since it uses less digits than its factorization.

506005507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 506005507 is about 22494.5661660766. The cubic root of 506005507 is about 796.8656037175.

The spelling of 506005507 in words is "five hundred six million, five thousand, five hundred seven".