506295001 has 3 divisors (see below), whose sum is σ = 506317503. Its totient is φ = 506272500.

The previous prime is 506294941. The next prime is 506295017. The reversal of 506295001 is 100592605.

The square root of 506295001 is 22501.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 100592605 = 5 ⋅20118521.

It can be written as a sum of positive squares in only one way, i.e., 506205001 + 90000 = 22499^2 + 300^2 .

It is not a de Polignac number, because 506295001 - 2¹⁵ = 506262233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506295301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11251 + ... + 33751.

It is an arithmetic number, because the mean of its divisors is an integer number (168772501).

Almost surely, 2^506295001 is an apocalyptic number.

506295001 is the 22501-st square number.

506295001 is the 11251-st centered octagonal number.

It is an amenable number.

506295001 is a deficient number, since it is larger than the sum of its proper divisors (22502).

506295001 is an frugal number, since it uses more digits than its factorization.

506295001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45002 (or 22501 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The cubic root of 506295001 is about 797.0175413469.

The spelling of 506295001 in words is "five hundred six million, two hundred ninety-five thousand, one".