506311353 has 6 divisors (see below), whose sum is σ = 731338634. Its totient is φ = 337540896.

The previous prime is 506311343. The next prime is 506311361. The reversal of 506311353 is 353113605.

It can be written as a sum of positive squares in only one way, i.e., 493372944 + 12938409 = 22212^2 + 3597^2 .

It is not a de Polignac number, because 506311353 - 2¹⁷ = 506180281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (506311343) 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 5 ways as a sum of consecutive naturals, for example, 28128400 + ... + 28128417.

Almost surely, 2^506311353 is an apocalyptic number.

It is an amenable number.

506311353 is a deficient number, since it is larger than the sum of its proper divisors (225027281).

506311353 is a wasteful number, since it uses less digits than its factorization.

506311353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56256823 (or 56256820 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 506311353 is about 22501.3633586945. The cubic root of 506311353 is about 797.0261217796.

Adding to 506311353 its reverse (353113605), we get a palindrome (859424958).

It can be divided in two parts, 50631 and 1353, that added together give a square (51984 = 228²).

The spelling of 506311353 in words is "five hundred six million, three hundred eleven thousand, three hundred fifty-three".