506005801 has 12 divisors (see below), whose sum is σ = 592923348. Its totient is φ = 430547712.

The previous prime is 506005793. The next prime is 506005831. The reversal of 506005801 is 108500605.

It can be written as a sum of positive squares in 2 ways, for example, as 385533225 + 120472576 = 19635^2 + 10976^2 .

It is not a de Polignac number, because 506005801 - 2³ = 506005793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506005831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30976 + ... + 44401.

It is an arithmetic number, because the mean of its divisors is an integer number (49410279).

Almost surely, 2^506005801 is an apocalyptic number.

It is an amenable number.

506005801 is a deficient number, since it is larger than the sum of its proper divisors (86917547).

506005801 is a wasteful number, since it uses less digits than its factorization.

506005801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75528 (or 75521 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 506005801 is about 22494.5727009872. The cubic root of 506005801 is about 796.8657580494.

The spelling of 506005801 in words is "five hundred six million, five thousand, eight hundred one".