506506001 has 8 divisors (see below), whose sum is σ = 516744360. Its totient is φ = 496292992.

The previous prime is 506505983. The next prime is 506506003. The reversal of 506506001 is 100605605.

It can be written as a sum of positive squares in 4 ways, for example, as 194630401 + 311875600 = 13951^2 + 17660^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506506001 - 2²⁶ = 439397137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506506003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36971 + ... + 48783.

It is an arithmetic number, because the mean of its divisors is an integer number (64593045).

Almost surely, 2^506506001 is an apocalyptic number.

It is an amenable number.

506506001 is a deficient number, since it is larger than the sum of its proper divisors (10238359).

506506001 is a wasteful number, since it uses less digits than its factorization.

506506001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12675.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 506506001 is about 22505.6881920993. The cubic root of 506506001 is about 797.1282458074.

The spelling of 506506001 in words is "five hundred six million, five hundred six thousand, one".