506261573 has 4 divisors (see below), whose sum is σ = 506897580. Its totient is φ = 505626364.

The previous prime is 506261551. The next prime is 506261597. The reversal of 506261573 is 375162605.

The cubic root of 506261573 is 797.

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

It can be written as a sum of positive squares in 2 ways, for example, as 66227044 + 440034529 = 8138^2 + 20977^2 .

It is not a de Polignac number, because 506261573 - 2¹⁴ = 506245189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506261773) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 634811 + ... + 635607.

It is an arithmetic number, because the mean of its divisors is an integer number (126724395).

Almost surely, 2^506261573 is an apocalyptic number.

It is an amenable number.

506261573 is a deficient number, since it is larger than the sum of its proper divisors (636007).

506261573 is an frugal number, since it uses more digits than its factorization.

506261573 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 506261573 is about 22500.2571763080.

The spelling of 506261573 in words is "five hundred six million, two hundred sixty-one thousand, five hundred seventy-three".