506456331 has 16 divisors (see below), whose sum is σ = 697709568. Its totient is φ = 326440800.

The previous prime is 506456263. The next prime is 506456339. The reversal of 506456331 is 133654605.

It is a de Polignac number, because none of the positive numbers 2^k-506456331 is a prime.

It is a super-2 number, since 2×506456331² = 512996030419963122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506456292 and 506456301.

It is not an unprimeable number, because it can be changed into a prime (506456339) 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 15 ways as a sum of consecutive naturals, for example, 140605 + ... + 144161.

It is an arithmetic number, because the mean of its divisors is an integer number (43606848).

Almost surely, 2^506456331 is an apocalyptic number.

506456331 is a deficient number, since it is larger than the sum of its proper divisors (191253237).

506456331 is a wasteful number, since it uses less digits than its factorization.

506456331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5122.

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 506456331 is about 22504.5846662408. The cubic root of 506456331 is about 797.1021884298.

The spelling of 506456331 in words is "five hundred six million, four hundred fifty-six thousand, three hundred thirty-one".